99257 has 2 divisors, whose sum is σ = 99258. Its totient is φ = 99256.

The previous prime is 99251. The next prime is 99259. The reversal of 99257 is 75299.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 26896 = 269^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 99257 - 2⁴ = 99241 is a prime.

Together with 99259, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99257.

It is not a weakly prime, because it can be changed into another prime (99251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49628 + 49629.

It is an arithmetic number, because the mean of its divisors is an integer number (49629).

2⁹⁹²⁵⁷ is an apocalyptic number.

It is an amenable number.

99257 is a deficient number, since it is larger than the sum of its proper divisors (1).

99257 is an equidigital number, since it uses as much as digits as its factorization.

99257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 32.

The square root of 99257 is about 315.0507895562. The cubic root of 99257 is about 46.3006457622.

Subtracting from 99257 its sum of digits (32), we obtain a square (99225 = 315²).

The spelling of 99257 in words is "ninety-nine thousand, two hundred fifty-seven".