87957 has 12 divisors (see below), whose sum is σ = 131820. Its totient is φ = 56448.

The previous prime is 87943. The next prime is 87959. The reversal of 87957 is 75978.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 53361 = 186^2 + 231^2 .

It is not a de Polignac number, because 87957 - 2⁸ = 87701 is a prime.

87957 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87957.

It is not an unprimeable number, because it can be changed into a prime (87959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (10985).

2⁸⁷⁹⁵⁷ is an apocalyptic number.

87957 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

87957 is a deficient number, since it is larger than the sum of its proper divisors (43863).

87957 is a wasteful number, since it uses less digits than its factorization.

87957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 87957 is about 296.5754541428. The cubic root of 87957 is about 44.4723558474.

The spelling of 87957 in words is "eighty-seven thousand, nine hundred fifty-seven".