173916 has 18 divisors (see below), whose sum is σ = 439712. Its totient is φ = 57960.

The previous prime is 173909. The next prime is 173917. The reversal of 173916 is 619371.

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 173916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173917) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2380 + ... + 2451.

2¹⁷³⁹¹⁶ is an apocalyptic number.

It is an amenable number.

173916 is an abundant number, since it is smaller than the sum of its proper divisors (265796).

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

173916 is a wasteful number, since it uses less digits than its factorization.

173916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4836 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 173916 is about 417.0323728441. The cubic root of 173916 is about 55.8187165024.

Subtracting from 173916 its sum of digits (27), we obtain a square (173889 = 417²).

It can be divided in two parts, 173 and 916, that added together give a square (1089 = 33²).

The spelling of 173916 in words is "one hundred seventy-three thousand, nine hundred sixteen".