31146912 has 72 divisors (see below), whose sum is σ = 89709984. Its totient is φ = 10249344.

The previous prime is 31146901. The next prime is 31146917. The reversal of 31146912 is 21964113.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31146917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23253 + ... + 24555.

It is an arithmetic number, because the mean of its divisors is an integer number (1245972).

Almost surely, 2^31146912 is an apocalyptic number.

31146912 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 31146912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44854992).

31146912 is an abundant number, since it is smaller than the sum of its proper divisors (58563072).

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

31146912 is a wasteful number, since it uses less digits than its factorization.

31146912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 31146912 is about 5580.9418559953. The cubic root of 31146912 is about 314.6335269450.

The spelling of 31146912 in words is "thirty-one million, one hundred forty-six thousand, nine hundred twelve".