2964 has 24 divisors (see below), whose sum is σ = 7840. Its totient is φ = 864.

The previous prime is 2963. The next prime is 2969. The reversal of 2964 is 4692.

2964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11 and base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 165.

2^{2964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920).

2964 is an abundant number, since it is smaller than the sum of its proper divisors (4876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2964 is a wasteful number, since it uses less digits than its factorization.

2964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 37 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2964 is about 54.4426303553. The cubic root of 2964 is about 14.3645734095.

Subtracting 2964 from its reverse (4692), we obtain a cube (1728 = 12^{3}).

It can be divided in two parts, 296 and 4, that added together give a triangular number (300 = T_{24}).

The spelling of 2964 in words is "two thousand, nine hundred sixty-four".

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