32012964 has 81 divisors (see below), whose sum is σ = 86706529. Its totient is φ = 9958080.

The previous prime is 32012947. The next prime is 32012971. The reversal of 32012964 is 46921023.

The square root of 32012964 is 5658.

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

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 30470400 = 1242^2 + 5520^2 .

It is a super-3 number, since 3×32012964³ (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 780784 + ... + 780824.

Almost surely, 2^32012964 is an apocalyptic number.

32012964 is the 5658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32012964

32012964 is an abundant number, since it is smaller than the sum of its proper divisors (54693565).

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

32012964 is a wasteful number, since it uses less digits than its factorization.

32012964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 32012964 is about 317.5230776620.

Adding to 32012964 its reverse (46921023), we get a palindrome (78933987).

The spelling of 32012964 in words is "thirty-two million, twelve thousand, nine hundred sixty-four".