31312944 has 120 divisors (see below), whose sum is σ = 96816720. Its totient is φ = 9386496.

The previous prime is 31312937. The next prime is 31312949. The reversal of 31312944 is 44921313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312949) 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 23 ways as a sum of consecutive naturals, for example, 80302 + ... + 80690.

It is an arithmetic number, because the mean of its divisors is an integer number (806806).

Almost surely, 2^31312944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31312944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48408360).

31312944 is an abundant number, since it is smaller than the sum of its proper divisors (65503776).

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

31312944 is a wasteful number, since it uses less digits than its factorization.

31312944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

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

The square root of 31312944 is about 5595.7969941734. The cubic root of 31312944 is about 315.1915992333.

The spelling of 31312944 in words is "thirty-one million, three hundred twelve thousand, nine hundred forty-four".