87137 has 4 divisors (see below), whose sum is σ = 88320. Its totient is φ = 85956.

The previous prime is 87133. The next prime is 87149. The reversal of 87137 is 73178.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 87137 - 2² = 87133 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87137.

It is not an unprimeable number, because it can be changed into a prime (87133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473 + ... + 630.

It is an arithmetic number, because the mean of its divisors is an integer number (22080).

2⁸⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

87137 is a deficient number, since it is larger than the sum of its proper divisors (1183).

87137 is a wasteful number, since it uses less digits than its factorization.

87137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182.

The product of its digits is 1176, while the sum is 26.

The square root of 87137 is about 295.1897694704. The cubic root of 87137 is about 44.3337227747. Note that the first 3 decimals are identical.

The spelling of 87137 in words is "eighty-seven thousand, one hundred thirty-seven".