87913 has 8 divisors (see below), whose sum is σ = 105920. Its totient is φ = 71280.

The previous prime is 87911. The next prime is 87917. The reversal of 87913 is 31978.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87913 - 2¹ = 87911 is a prime.

It is the 297-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87911) by changing a digit.

It is a nontrivial repunit in base 296.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (13240).

2⁸⁷⁹¹³ is an apocalyptic number.

It is an amenable number.

87913 is a deficient number, since it is larger than the sum of its proper divisors (18007).

87913 is a wasteful number, since it uses less digits than its factorization.

87913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687.

The product of its digits is 1512, while the sum is 28.

The square root of 87913 is about 296.5012647528. The cubic root of 87913 is about 44.4649389276.

It can be divided in two parts, 87 and 913, that added together give a cube (1000 = 10³).

The spelling of 87913 in words is "eighty-seven thousand, nine hundred thirteen".