86975 has 18 divisors (see below), whose sum is σ = 127224. Its totient is φ = 58800.

The previous prime is 86969. The next prime is 86981. The reversal of 86975 is 57968.

86975 = 11³ + 12³ + ... + 24³.

It is an interprime number because it is at equal distance from previous prime (86969) and next prime (86981).

It is not a de Polignac number, because 86975 - 2⁴ = 86959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1190 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2⁸⁶⁹⁷⁵ is an apocalyptic number.

86975 is a deficient number, since it is larger than the sum of its proper divisors (40249).

86975 is a wasteful number, since it uses less digits than its factorization.

86975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

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

The square root of 86975 is about 294.9152420612. The cubic root of 86975 is about 44.3062315118.

86975 divided by its sum of digits (35) gives a triangular number (2485 = T₇₀).

The spelling of 86975 in words is "eighty-six thousand, nine hundred seventy-five".