165831 has 8 divisors (see below), whose sum is σ = 223104. Its totient is φ = 109560.

The previous prime is 165829. The next prime is 165833. The reversal of 165831 is 138561.

It is an interprime number because it is at equal distance from previous prime (165829) and next prime (165833).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 165831 - 2¹ = 165829 is a prime.

It is a super-2 number, since 2×165831² = 54999841122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 165831.

It is not an unprimeable number, because it can be changed into a prime (165833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336 + ... + 666.

It is an arithmetic number, because the mean of its divisors is an integer number (27888).

2¹⁶⁵⁸³¹ is an apocalyptic number.

165831 is a deficient number, since it is larger than the sum of its proper divisors (57273).

165831 is a wasteful number, since it uses less digits than its factorization.

165831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501.

The product of its digits is 720, while the sum is 24.

The square root of 165831 is about 407.2235258430. The cubic root of 165831 is about 54.9399896431.

The spelling of 165831 in words is "one hundred sixty-five thousand, eight hundred thirty-one".