172257 has 8 divisors (see below), whose sum is σ = 233376. Its totient is φ = 112992.

The previous prime is 172243. The next prime is 172259. The reversal of 172257 is 752271.

172257 is nontrivially palindromic in base 7.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 172257 - 2⁸ = 172001 is a prime.

It is a super-3 number, since 3×172257³ = 15333874086775779, which contains 333 as substring.

172257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (172259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (29172).

2¹⁷²²⁵⁷ is an apocalyptic number.

It is an amenable number.

172257 is a deficient number, since it is larger than the sum of its proper divisors (61119).

172257 is an equidigital number, since it uses as much as digits as its factorization.

172257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927.

The product of its digits is 980, while the sum is 24.

The square root of 172257 is about 415.0385524262. The cubic root of 172257 is about 55.6406625927.

The spelling of 172257 in words is "one hundred seventy-two thousand, two hundred fifty-seven".