32708 has 24 divisors (see below), whose sum is σ = 67032. Its totient is φ = 13824.

The previous prime is 32707. The next prime is 32713. The reversal of 32708 is 80723.

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 23104 = 98^2 + 152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32708.

It is not an unprimeable number, because it can be changed into a prime (32707) 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, 866 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2³²⁷⁰⁸ is an apocalyptic number.

It is an amenable number.

32708 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (33516).

32708 is a wasteful number, since it uses less digits than its factorization.

32708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 32708 is about 180.8535318981. The cubic root of 32708 is about 31.9804568169.

The spelling of 32708 in words is "thirty-two thousand, seven hundred eight".