32957952 has 80 divisors (see below), whose sum is σ = 90024000. Its totient is φ = 10708992.

The previous prime is 32957941. The next prime is 32957959. The reversal of 32957952 is 25975923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32957959) 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, 65799 + ... + 66297.

It is an arithmetic number, because the mean of its divisors is an integer number (1125300).

Almost surely, 2^32957952 is an apocalyptic number.

32957952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012000).

32957952 is an abundant number, since it is smaller than the sum of its proper divisors (57066048).

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

32957952 is an equidigital number, since it uses as much as digits as its factorization.

32957952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 32957952 is about 5740.9016713405. The cubic root of 32957952 is about 320.6171423660.

The spelling of 32957952 in words is "thirty-two million, nine hundred fifty-seven thousand, nine hundred fifty-two".