83257 has 2 divisors, whose sum is σ = 83258. Its totient is φ = 83256.

The previous prime is 83243. The next prime is 83267. The reversal of 83257 is 75238.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 2601 = 284^2 + 51^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83257 is a prime.

It is a d-powerful number, because it can be written as 8³ + 3⁷ + 2⁵ + 5⁷ + 7⁴ .

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (83207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41628 + 41629.

It is an arithmetic number, because the mean of its divisors is an integer number (41629).

2⁸³²⁵⁷ is an apocalyptic number.

It is an amenable number.

83257 is a deficient number, since it is larger than the sum of its proper divisors (1).

83257 is an equidigital number, since it uses as much as digits as its factorization.

83257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1680, while the sum is 25.

The square root of 83257 is about 288.5428910925. The cubic root of 83257 is about 43.6656825009.

The spelling of 83257 in words is "eighty-three thousand, two hundred fifty-seven".