86257 has 2 divisors, whose sum is σ = 86258. Its totient is φ = 86256.

The previous prime is 86249. The next prime is 86263. The reversal of 86257 is 75268.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 39601 = 216^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 86257 - 2³ = 86249 is a prime.

It is a Chen prime.

86257 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (86287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43128 + 43129.

It is an arithmetic number, because the mean of its divisors is an integer number (43129).

2⁸⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

86257 is a deficient number, since it is larger than the sum of its proper divisors (1).

86257 is an equidigital number, since it uses as much as digits as its factorization.

86257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3360, while the sum is 28.

The square root of 86257 is about 293.6954204614. The cubic root of 86257 is about 44.1839748626.

It can be divided in two parts, 862 and 57, that added together give a palindrome (919).

The spelling of 86257 in words is "eighty-six thousand, two hundred fifty-seven".