102257 has 4 divisors (see below), whose sum is σ = 102900. Its totient is φ = 101616.

The previous prime is 102253. The next prime is 102259. The reversal of 102257 is 752201.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 14641 = 296^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 102257 - 2² = 102253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102257.

It is not an unprimeable number, because it can be changed into a prime (102251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (25725).

2¹⁰²²⁵⁷ is an apocalyptic number.

It is an amenable number.

102257 is a deficient number, since it is larger than the sum of its proper divisors (643).

102257 is an equidigital number, since it uses as much as digits as its factorization.

102257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 102257 is about 319.7764844387. The cubic root of 102257 is about 46.7624958256.

Adding to 102257 its reverse (752201), we get a palindrome (854458).

The spelling of 102257 in words is "one hundred two thousand, two hundred fifty-seven".