87538 has 16 divisors (see below), whose sum is σ = 150336. Its totient is φ = 37840.

The previous prime is 87523. The next prime is 87539. The reversal of 87538 is 83578.

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 7 ways as a sum of consecutive naturals, for example, 420 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (9396).

2⁸⁷⁵³⁸ is an apocalyptic number.

87538 is a deficient number, since it is larger than the sum of its proper divisors (62798).

87538 is a wasteful number, since it uses less digits than its factorization.

87538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209.

The product of its digits is 6720, while the sum is 31.

The square root of 87538 is about 295.8682139061. The cubic root of 87538 is about 44.4016258907.

It can be divided in two parts, 87 and 538, that added together give a 4-th power (625 = 5⁴).

The spelling of 87538 in words is "eighty-seven thousand, five hundred thirty-eight".