131607965 has 24 divisors (see below), whose sum is σ = 176524920. Its totient is φ = 93855744.

The previous prime is 131607923. The next prime is 131608007. The reversal of 131607965 is 569706131.

It is an interprime number because it is at equal distance from previous prime (131607923) and next prime (131608007).

It can be written as a sum of positive squares in 4 ways, for example, as 59799289 + 71808676 = 7733^2 + 8474^2 .

It is not a de Polignac number, because 131607965 - 2¹⁰ = 131606941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28541 + ... + 32829.

It is an arithmetic number, because the mean of its divisors is an integer number (7355205).

Almost surely, 2^131607965 is an apocalyptic number.

It is an amenable number.

131607965 is a deficient number, since it is larger than the sum of its proper divisors (44916955).

131607965 is a wasteful number, since it uses less digits than its factorization.

131607965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 131607965 is about 11472.0514730365. The cubic root of 131607965 is about 508.6597708570.

The spelling of 131607965 in words is "one hundred thirty-one million, six hundred seven thousand, nine hundred sixty-five".