86637 has 4 divisors (see below), whose sum is σ = 115520. Its totient is φ = 57756.

The previous prime is 86629. The next prime is 86677. The reversal of 86637 is 73668.

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 86637 - 2³ = 86629 is a prime.

It is a D-number.

It is a Duffinian number.

86637 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86627) 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, 14437 + ... + 14442.

It is an arithmetic number, because the mean of its divisors is an integer number (28880).

2⁸⁶⁶³⁷ is an apocalyptic number.

It is an amenable number.

86637 is a deficient number, since it is larger than the sum of its proper divisors (28883).

86637 is a wasteful number, since it uses less digits than its factorization.

86637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28882.

The product of its digits is 6048, while the sum is 30.

The square root of 86637 is about 294.3416382369. The cubic root of 86637 is about 44.2487630922.

It can be divided in two parts, 866 and 37, that added together give a triangular number (903 = T₄₂).

The spelling of 86637 in words is "eighty-six thousand, six hundred thirty-seven".