172312257 has 16 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 105934272.

The previous prime is 172312247. The next prime is 172312267. The reversal of 172312257 is 752213271.

It is an interprime number because it is at equal distance from previous prime (172312247) and next prime (172312267).

It is not a de Polignac number, because 172312257 - 2⁴ = 172312241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (172312237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62494 + ... + 65192.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2^172312257 is an apocalyptic number.

It is an amenable number.

172312257 is a deficient number, since it is larger than the sum of its proper divisors (75353343).

172312257 is a wasteful number, since it uses less digits than its factorization.

172312257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352.

The product of its digits is 5880, while the sum is 30.

The square root of 172312257 is about 13126.7763369382. The cubic root of 172312257 is about 556.4661147027.

The spelling of 172312257 in words is "one hundred seventy-two million, three hundred twelve thousand, two hundred fifty-seven".