172845 has 24 divisors (see below), whose sum is σ = 314496. Its totient is φ = 87648.

The previous prime is 172829. The next prime is 172849. The reversal of 172845 is 548271.

172845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 172845 - 2⁴ = 172829 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

172845 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172845.

It is not an unprimeable number, because it can be changed into a prime (172849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2¹⁷²⁸⁴⁵ is an apocalyptic number.

172845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

172845 is a deficient number, since it is larger than the sum of its proper divisors (141651).

172845 is a wasteful number, since it uses less digits than its factorization.

172845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 172845 is about 415.7463168809. The cubic root of 172845 is about 55.7039005721.

The spelling of 172845 in words is "one hundred seventy-two thousand, eight hundred forty-five".