131637361 has 2 divisors, whose sum is σ = 131637362. Its totient is φ = 131637360.

The previous prime is 131637299. The next prime is 131637367. The reversal of 131637361 is 163736131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125104225 + 6533136 = 11185^2 + 2556^2 .

It is a cyclic number.

It is not a de Polignac number, because 131637361 - 2⁹ = 131636849 is a prime.

It is a super-2 number, since 2×131637361² = 34656789622088642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131637367) 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 as a sum of consecutive naturals, namely, 65818680 + 65818681.

It is an arithmetic number, because the mean of its divisors is an integer number (65818681).

Almost surely, 2^131637361 is an apocalyptic number.

It is an amenable number.

131637361 is a deficient number, since it is larger than the sum of its proper divisors (1).

131637361 is an equidigital number, since it uses as much as digits as its factorization.

131637361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 31.

The square root of 131637361 is about 11473.3326021693. The cubic root of 131637361 is about 508.6976395110.

The spelling of 131637361 in words is "one hundred thirty-one million, six hundred thirty-seven thousand, three hundred sixty-one".