83165 has 4 divisors (see below), whose sum is σ = 99804. Its totient is φ = 66528.

The previous prime is 83137. The next prime is 83177. The reversal of 83165 is 56138.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 56138 = 2 ⋅28069.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 63001 = 142^2 + 251^2 .

It is a cyclic number.

It is not a de Polignac number, because 83165 - 2⁶ = 83101 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 83165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8312 + ... + 8321.

It is an arithmetic number, because the mean of its divisors is an integer number (24951).

2⁸³¹⁶⁵ is an apocalyptic number.

It is an amenable number.

83165 is a deficient number, since it is larger than the sum of its proper divisors (16639).

83165 is a wasteful number, since it uses less digits than its factorization.

83165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638.

The product of its digits is 720, while the sum is 23.

The square root of 83165 is about 288.3834253212. The cubic root of 83165 is about 43.6495928692.

It can be divided in two parts, 83 and 165, that multiplied together give a triangular number (13695 = T₁₆₅).

The spelling of 83165 in words is "eighty-three thousand, one hundred sixty-five".