172057 has 8 divisors (see below), whose sum is σ = 189000. Its totient is φ = 155904.

The previous prime is 172049. The next prime is 172069. The reversal of 172057 is 750271.

It can be written as a sum of positive squares in 4 ways, for example, as 67081 + 104976 = 259^2 + 324^2 .

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

It is not a de Polignac number, because 172057 - 2³ = 172049 is a prime.

It is a super-2 number, since 2×172057² = 59207222498, which contains 22 as substring.

It is a Duffinian number.

172057 is a lucky number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172057.

It is not an unprimeable number, because it can be changed into a prime (172027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2¹⁷²⁰⁵⁷ is an apocalyptic number.

172057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

172057 is a deficient number, since it is larger than the sum of its proper divisors (16943).

172057 is a wasteful number, since it uses less digits than its factorization.

172057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 172057 is about 414.7975409763. The cubic root of 172057 is about 55.6191202808.

It can be divided in two parts, 17 and 2057, that multiplied together give a square (34969 = 187²).

The spelling of 172057 in words is "one hundred seventy-two thousand, fifty-seven".