257672369 has 2 divisors, whose sum is σ = 257672370. Its totient is φ = 257672368.

The previous prime is 257672339. The next prime is 257672399. The reversal of 257672369 is 963276752.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (257672339) and next prime (257672399).

It can be written as a sum of positive squares in only one way, i.e., 256384144 + 1288225 = 16012^2 + 1135^2 .

It is a cyclic number.

It is not a de Polignac number, because 257672369 - 2²⁰ = 256623793 is a prime.

It is a super-2 number, since 2×257672369² = 132790099492144322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257672309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128836184 + 128836185.

It is an arithmetic number, because the mean of its divisors is an integer number (128836185).

Almost surely, 2^257672369 is an apocalyptic number.

It is an amenable number.

257672369 is a deficient number, since it is larger than the sum of its proper divisors (1).

257672369 is an equidigital number, since it uses as much as digits as its factorization.

257672369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 952560, while the sum is 47.

The square root of 257672369 is about 16052.1764567924. The cubic root of 257672369 is about 636.3400876499.

The spelling of 257672369 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, three hundred sixty-nine".