87637 has 8 divisors (see below), whose sum is σ = 99072. Its totient is φ = 76800.

The previous prime is 87631. The next prime is 87641. The reversal of 87637 is 73678.

87637 is nontrivially palindromic in base 4.

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 87637 - 2³ = 87629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87599 and 87608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87631) 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, 213 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (12384).

2⁸⁷⁶³⁷ is an apocalyptic number.

It is an amenable number.

87637 is a deficient number, since it is larger than the sum of its proper divisors (11435).

87637 is a wasteful number, since it uses less digits than its factorization.

87637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its digits is 7056, while the sum is 31.

The square root of 87637 is about 296.0354708477. The cubic root of 87637 is about 44.4183580714.

The spelling of 87637 in words is "eighty-seven thousand, six hundred thirty-seven".