131807097 has 12 divisors (see below), whose sum is σ = 190487700. Its totient is φ = 87825408.

The previous prime is 131807057. The next prime is 131807111. The reversal of 131807097 is 790708131.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 120758121 = 3324^2 + 10989^2 .

It is not a de Polignac number, because 131807097 - 2⁶ = 131807033 is a prime.

It is a super-2 number, since 2×131807097² = 34746221639134818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131807017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30529 + ... + 34577.

It is an arithmetic number, because the mean of its divisors is an integer number (15873975).

Almost surely, 2^131807097 is an apocalyptic number.

It is an amenable number.

131807097 is a deficient number, since it is larger than the sum of its proper divisors (58680603).

131807097 is a wasteful number, since it uses less digits than its factorization.

131807097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 131807097 is about 11480.7271982222. The cubic root of 131807097 is about 508.9161874396.

The spelling of 131807097 in words is "one hundred thirty-one million, eight hundred seven thousand, ninety-seven".