131631957 has 12 divisors (see below), whose sum is σ = 196691820. Its totient is φ = 84728448.

The previous prime is 131631953. The next prime is 131631959. The reversal of 131631957 is 759136131.

131631957 is a `hidden beast` number, since 13 + 1 + 631 + 9 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83064996 + 48566961 = 9114^2 + 6969^2 .

It is not a de Polignac number, because 131631957 - 2² = 131631953 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131631953) 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, 251908 + ... + 252429.

It is an arithmetic number, because the mean of its divisors is an integer number (16390985).

Almost surely, 2^131631957 is an apocalyptic number.

It is an amenable number.

131631957 is a deficient number, since it is larger than the sum of its proper divisors (65059863).

131631957 is a wasteful number, since it uses less digits than its factorization.

131631957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504372 (or 504369 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 131631957 is about 11473.0970971225. The cubic root of 131631957 is about 508.6906783676.

The spelling of 131631957 in words is "one hundred thirty-one million, six hundred thirty-one thousand, nine hundred fifty-seven".