83569 has 4 divisors (see below), whose sum is σ = 84196. Its totient is φ = 82944.

The previous prime is 83563. The next prime is 83579. The reversal of 83569 is 96538.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 69169 = 120^2 + 263^2 .

It is a 4-Lehmer number, since φ(83569) divides (83569-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 83569 - 2³ = 83561 is a prime.

It is a super-2 number, since 2×83569² = 13967555522, which contains 22 as substring.

It is a Duffinian number.

83569 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 83569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83561) 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, 24 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (21049).

2⁸³⁵⁶⁹ is an apocalyptic number.

It is an amenable number.

83569 is a deficient number, since it is larger than the sum of its proper divisors (627).

83569 is a wasteful number, since it uses less digits than its factorization.

83569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626.

The product of its digits is 6480, while the sum is 31.

The square root of 83569 is about 289.0830330545. The cubic root of 83569 is about 43.7201592428.

Subtracting from 83569 its sum of digits (31), we obtain a palindrome (83538).

The spelling of 83569 in words is "eighty-three thousand, five hundred sixty-nine".