31832164 has 81 divisors (see below), whose sum is σ = 72505881. Its totient is φ = 12186720.

The previous prime is 31832153. The next prime is 31832167. The reversal of 31832164 is 46123813.

The square root of 31832164 is 5642.

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., 4708900 + 27123264 = 2170^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (31832167) by changing a digit.

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, 1026829 + ... + 1026859.

Almost surely, 2^31832164 is an apocalyptic number.

31832164 is the 5642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31832164

31832164 is an abundant number, since it is smaller than the sum of its proper divisors (40673717).

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

31832164 is a wasteful number, since it uses less digits than its factorization.

31832164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The cubic root of 31832164 is about 316.9241891642.

Adding to 31832164 its reverse (46123813), we get a palindrome (77955977).

The spelling of 31832164 in words is "thirty-one million, eight hundred thirty-two thousand, one hundred sixty-four".