83369 has 12 divisors (see below), whose sum is σ = 100548. Its totient is φ = 68640.

The previous prime is 83357. The next prime is 83383. The reversal of 83369 is 96338.

83369 = 82² + 83² + ... + 92².

It can be written as a sum of positive squares in 2 ways, for example, as 34969 + 48400 = 187^2 + 220^2 .

It is not a de Polignac number, because 83369 - 2¹² = 79273 is a prime.

It is a super-2 number, since 2×83369² = 13900780322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1547 + ... + 1599.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁸³³⁶⁹ is an apocalyptic number.

It is an amenable number.

83369 is a deficient number, since it is larger than the sum of its proper divisors (17179).

83369 is a wasteful number, since it uses less digits than its factorization.

83369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 83369 is about 288.7369044649. The cubic root of 83369 is about 43.6852538886.

The spelling of 83369 in words is "eighty-three thousand, three hundred sixty-nine".