86857 has 2 divisors, whose sum is σ = 86858. Its totient is φ = 86856.

The previous prime is 86851. The next prime is 86861. The reversal of 86857 is 75868.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 17161 = 264^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 86857 - 2⁷ = 86729 is a prime.

86857 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (86851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43428 + 43429.

It is an arithmetic number, because the mean of its divisors is an integer number (43429).

2⁸⁶⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

86857 is a deficient number, since it is larger than the sum of its proper divisors (1).

86857 is an equidigital number, since it uses as much as digits as its factorization.

86857 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13440, while the sum is 34.

The square root of 86857 is about 294.7151166805. The cubic root of 86857 is about 44.2861855160.

The spelling of 86857 in words is "eighty-six thousand, eight hundred fifty-seven".