32964 has 24 divisors (see below), whose sum is σ = 79968. Its totient is φ = 10560.

The previous prime is 32957. The next prime is 32969. The reversal of 32964 is 46923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32969) by changing a digit.

32964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (3332).

2³²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

32964 is an abundant number, since it is smaller than the sum of its proper divisors (47004).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39984).

32964 is a wasteful number, since it uses less digits than its factorization.

32964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 32964 is about 181.5599074686. The cubic root of 32964 is about 32.0636752948.

It can be divided in two parts, 329 and 64, that added together give a palindrome (393).

The spelling of 32964 in words is "thirty-two thousand, nine hundred sixty-four".