165724 has 12 divisors (see below), whose sum is σ = 312424. Its totient is φ = 76464.

The previous prime is 165721. The next prime is 165749. The reversal of 165724 is 427561.

165724 = T₇₂ + T₇₃ + ... + T₁₁₀.

165724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1542 + ... + 1645.

2¹⁶⁵⁷²⁴ is an apocalyptic number.

It is an amenable number.

165724 is a deficient number, since it is larger than the sum of its proper divisors (146700).

165724 is a wasteful number, since it uses less digits than its factorization.

165724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3202 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 165724 is about 407.0921271653. The cubic root of 165724 is about 54.9281706955.

It can be divided in two parts, 1657 and 24, that added together give a square (1681 = 41²).

The spelling of 165724 in words is "one hundred sixty-five thousand, seven hundred twenty-four".