131107585 has 12 divisors (see below), whose sum is σ = 183015828. Its totient is φ = 89902176.

The previous prime is 131107577. The next prime is 131107589. The reversal of 131107585 is 585701131.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 71385601 = 7728^2 + 8449^2 .

It is not a de Polignac number, because 131107585 - 2³ = 131107577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131107589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267322 + ... + 267811.

It is an arithmetic number, because the mean of its divisors is an integer number (15251319).

Almost surely, 2^131107585 is an apocalyptic number.

It is an amenable number.

131107585 is a deficient number, since it is larger than the sum of its proper divisors (51908243).

131107585 is an equidigital number, since it uses as much as digits as its factorization.

131107585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535152 (or 535145 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 31.

The square root of 131107585 is about 11450.2220502486. Note that the first 3 decimals coincide. The cubic root of 131107585 is about 508.0143022509.

The spelling of 131107585 in words is "one hundred thirty-one million, one hundred seven thousand, five hundred eighty-five".