172830 has 32 divisors (see below), whose sum is σ = 474624. Its totient is φ = 39456.

The previous prime is 172829. The next prime is 172849. The reversal of 172830 is 38271.

172830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 172797 and 172806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (14832).

2¹⁷²⁸³⁰ is an apocalyptic number.

172830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

172830 is an abundant number, since it is smaller than the sum of its proper divisors (301794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172830 is a wasteful number, since it uses less digits than its factorization.

172830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 172830 is about 415.7282766423. The cubic root of 172830 is about 55.7022891424.

Adding to 172830 its product of nonzero digits (336), we get a triangular number (173166 = T₅₈₈).

The spelling of 172830 in words is "one hundred seventy-two thousand, eight hundred thirty".