32970564 has 135 divisors (see below), whose sum is σ = 98119021. Its totient is φ = 9646560.

The previous prime is 32970559. The next prime is 32970617. The reversal of 32970564 is 46507923.

The square root of 32970564 is 5742.

It is a perfect power (a square), and thus also a powerful number.

32970564 is a `hidden beast` number, since 3 + 2 + 97 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17288964 + 15681600 = 4158^2 + 3960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1136902 + ... + 1136930.

Almost surely, 2^32970564 is an apocalyptic number.

32970564 is the 5742-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32970564

32970564 is an abundant number, since it is smaller than the sum of its proper divisors (65148457).

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

32970564 is a wasteful number, since it uses less digits than its factorization.

32970564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 32970564 is about 320.6580339412.

Multiplying 32970564 by its sum of digits (36), we get a square (1186940304 = 34452²).

32970564 divided by its sum of digits (36) gives a square (915849 = 957²).

The spelling of 32970564 in words is "thirty-two million, nine hundred seventy thousand, five hundred sixty-four".