173820 has 24 divisors (see below), whose sum is σ = 486864. Its totient is φ = 46336.

The previous prime is 173819. The next prime is 173827. The reversal of 173820 is 28371.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1389 + ... + 1508.

It is an arithmetic number, because the mean of its divisors is an integer number (20286).

2¹⁷³⁸²⁰ is an apocalyptic number.

173820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

173820 is an abundant number, since it is smaller than the sum of its proper divisors (313044).

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

173820 is a wasteful number, since it uses less digits than its factorization.

173820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2907 counting only the distinct ones).

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

The square root of 173820 is about 416.9172579781. The cubic root of 173820 is about 55.8084441429.

The spelling of 173820 in words is "one hundred seventy-three thousand, eight hundred twenty".