31711872 has 64 divisors (see below), whose sum is σ = 84823200. Its totient is φ = 10497024.

The previous prime is 31711859. The next prime is 31711873. The reversal of 31711872 is 27811713.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (31711873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103143 + ... + 103449.

Almost surely, 2^31711872 is an apocalyptic number.

31711872 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 31711872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42411600).

31711872 is an abundant number, since it is smaller than the sum of its proper divisors (53111328).

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

31711872 is a wasteful number, since it uses less digits than its factorization.

31711872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 31711872 is about 5631.3295055431. The cubic root of 31711872 is about 316.5244722011.

The spelling of 31711872 in words is "thirty-one million, seven hundred eleven thousand, eight hundred seventy-two".