86627 has 2 divisors, whose sum is σ = 86628. Its totient is φ = 86626.

The previous prime is 86599. The next prime is 86629. The reversal of 86627 is 72668.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 86627 - 2⁸ = 86371 is a prime.

Together with 86629, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86627.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86627.

It is not a weakly prime, because it can be changed into another prime (86629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43313 + 43314.

It is an arithmetic number, because the mean of its divisors is an integer number (43314).

2⁸⁶⁶²⁷ is an apocalyptic number.

86627 is a deficient number, since it is larger than the sum of its proper divisors (1).

86627 is an equidigital number, since it uses as much as digits as its factorization.

86627 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 29.

The square root of 86627 is about 294.3246506836. The cubic root of 86627 is about 44.2470605685.

The spelling of 86627 in words is "eighty-six thousand, six hundred twenty-seven".