257204417 has 2 divisors, whose sum is σ = 257204418. Its totient is φ = 257204416.

The previous prime is 257204413. The next prime is 257204419. The reversal of 257204417 is 714402752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198697216 + 58507201 = 14096^2 + 7649^2 .

It is a cyclic number.

It is not a de Polignac number, because 257204417 - 2² = 257204413 is a prime.

It is a super-2 number, since 2×257204417² = 132308224248619778, which contains 22 as substring.

Together with 257204419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257204411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128602208 + 128602209.

It is an arithmetic number, because the mean of its divisors is an integer number (128602209).

Almost surely, 2^257204417 is an apocalyptic number.

It is an amenable number.

257204417 is a deficient number, since it is larger than the sum of its proper divisors (1).

257204417 is an equidigital number, since it uses as much as digits as its factorization.

257204417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 257204417 is about 16037.5938656645. The cubic root of 257204417 is about 635.9546407335.

The spelling of 257204417 in words is "two hundred fifty-seven million, two hundred four thousand, four hundred seventeen".