172088257 has 12 divisors (see below), whose sum is σ = 190160740. Its totient is φ = 155612160.

The previous prime is 172088251. The next prime is 172088311. The reversal of 172088257 is 752880271.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 66080641 = 10296^2 + 8129^2 .

It is not a de Polignac number, because 172088257 - 2³ = 172088249 is a prime.

It is a super-2 number, since 2×172088257² = 59228736394596098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (172088251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19669 + ... + 27037.

Almost surely, 2^172088257 is an apocalyptic number.

It is an amenable number.

172088257 is a deficient number, since it is larger than the sum of its proper divisors (18072483).

172088257 is a wasteful number, since it uses less digits than its factorization.

172088257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 172088257 is about 13118.2413836611. The cubic root of 172088257 is about 556.2248812122.

The spelling of 172088257 in words is "one hundred seventy-two million, eighty-eight thousand, two hundred fifty-seven".