172393 has 8 divisors (see below), whose sum is σ = 189000. Its totient is φ = 156288.

The previous prime is 172373. The next prime is 172399. The reversal of 172393 is 393271.

It can be written as a sum of positive squares in 4 ways, for example, as 5929 + 166464 = 77^2 + 408^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 172393 - 2⁹ = 171881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172399) 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, 1083 + ... + 1231.

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

2¹⁷²³⁹³ is an apocalyptic number.

172393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

172393 is a deficient number, since it is larger than the sum of its proper divisors (16607).

172393 is a wasteful number, since it uses less digits than its factorization.

172393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its digits is 1134, while the sum is 25.

The square root of 172393 is about 415.2023603016. The cubic root of 172393 is about 55.6553018421.

It can be divided in two parts, 172 and 393, that added together give a palindrome (565).

The spelling of 172393 in words is "one hundred seventy-two thousand, three hundred ninety-three".