86957 has 4 divisors (see below), whose sum is σ = 93660. Its totient is φ = 80256.

The previous prime is 86951. The next prime is 86959. The reversal of 86957 is 75968.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 42436 + 44521 = 206^2 + 211^2 .

It is a cyclic number.

It is not a de Polignac number, because 86957 - 2¹⁰ = 85933 is a prime.

It is a Duffinian 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 86957.

It is not an unprimeable number, because it can be changed into a prime (86951) 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, 3332 + ... + 3357.

It is an arithmetic number, because the mean of its divisors is an integer number (23415).

2⁸⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

86957 is a deficient number, since it is larger than the sum of its proper divisors (6703).

86957 is a wasteful number, since it uses less digits than its factorization.

86957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702.

The product of its digits is 15120, while the sum is 35.

The square root of 86957 is about 294.8847232394. The cubic root of 86957 is about 44.3031748205.

The spelling of 86957 in words is "eighty-six thousand, nine hundred fifty-seven".