87537 has 4 divisors (see below), whose sum is σ = 116720. Its totient is φ = 58356.

The previous prime is 87523. The next prime is 87539. The reversal of 87537 is 73578.

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 not a de Polignac number, because 87537 - 2⁶ = 87473 is a prime.

It is a D-number.

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 87537.

It is not an unprimeable number, because it can be changed into a prime (87539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14587 + ... + 14592.

It is an arithmetic number, because the mean of its divisors is an integer number (29180).

2⁸⁷⁵³⁷ is an apocalyptic number.

It is an amenable number.

87537 is a deficient number, since it is larger than the sum of its proper divisors (29183).

87537 is a wasteful number, since it uses less digits than its factorization.

87537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29182.

The product of its digits is 5880, while the sum is 30.

The square root of 87537 is about 295.8665239597. The cubic root of 87537 is about 44.4014568145.

The spelling of 87537 in words is "eighty-seven thousand, five hundred thirty-seven".