257207217 has 16 divisors (see below), whose sum is σ = 354485760. Its totient is φ = 165715200.

The previous prime is 257207207. The next prime is 257207261. The reversal of 257207217 is 712702752.

It is not a de Polignac number, because 257207217 - 2¹⁶ = 257141681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257207207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92467 + ... + 95207.

It is an arithmetic number, because the mean of its divisors is an integer number (22155360).

Almost surely, 2^257207217 is an apocalyptic number.

It is an amenable number.

257207217 is a deficient number, since it is larger than the sum of its proper divisors (97278543).

257207217 is a wasteful number, since it uses less digits than its factorization.

257207217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784.

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 257207217 is about 16037.6811603174. The cubic root of 257207217 is about 635.9569484525.

Adding to 257207217 its reverse (712702752), we get a palindrome (969909969).

The spelling of 257207217 in words is "two hundred fifty-seven million, two hundred seven thousand, two hundred seventeen".