83391 has 24 divisors (see below), whose sum is σ = 146304. Its totient is φ = 41040.

The previous prime is 83389. The next prime is 83399. The reversal of 83391 is 19338.

It is not a de Polignac number, because 83391 - 2¹ = 83389 is a prime.

83391 is a lucky number.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4380 + ... + 4398.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2⁸³³⁹¹ is an apocalyptic number.

83391 is a deficient number, since it is larger than the sum of its proper divisors (62913).

83391 is a wasteful number, since it uses less digits than its factorization.

83391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 83391 is about 288.7749989178. The cubic root of 83391 is about 43.6890962084.

It can be divided in two parts, 83 and 391, that added together give a palindrome (474).

The spelling of 83391 in words is "eighty-three thousand, three hundred ninety-one".