87965613 has 24 divisors (see below), whose sum is σ = 135010200. Its totient is φ = 55085184.

The previous prime is 87965609. The next prime is 87965627. The reversal of 87965613 is 31656978.

It is a happy number.

87965613 is a `hidden beast` number, since 87 + 9 + 6 + 561 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14040009 + 73925604 = 3747^2 + 8598^2 .

It is not a de Polignac number, because 87965613 - 2² = 87965609 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87961613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5103 + ... + 14211.

It is an arithmetic number, because the mean of its divisors is an integer number (5625425).

Almost surely, 2^87965613 is an apocalyptic number.

It is an amenable number.

87965613 is a deficient number, since it is larger than the sum of its proper divisors (47044587).

87965613 is a wasteful number, since it uses less digits than its factorization.

87965613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9178 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 87965613 is about 9378.9985073034. The cubic root of 87965613 is about 444.7380741996.

The spelling of 87965613 in words is "eighty-seven million, nine hundred sixty-five thousand, six hundred thirteen".