31312953 has 48 divisors (see below), whose sum is σ = 55186560. Its totient is φ = 17188416.

The previous prime is 31312949. The next prime is 31312961. The reversal of 31312953 is 35921313.

It is a happy number.

It is not a de Polignac number, because 31312953 - 2² = 31312949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31312903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158851 + ... + 159047.

It is an arithmetic number, because the mean of its divisors is an integer number (1149720).

Almost surely, 2^31312953 is an apocalyptic number.

It is an amenable number.

31312953 is a deficient number, since it is larger than the sum of its proper divisors (23873607).

31312953 is a wasteful number, since it uses less digits than its factorization.

31312953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 236 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 31312953 is about 5595.7977983483. The cubic root of 31312953 is about 315.1916294308.

It can be divided in two parts, 3131 and 2953, that added together give a square (6084 = 78²).

The spelling of 31312953 in words is "thirty-one million, three hundred twelve thousand, nine hundred fifty-three".