83385 has 24 divisors (see below), whose sum is σ = 154440. Its totient is φ = 41472.

The previous prime is 83383. The next prime is 83389. The reversal of 83385 is 58338.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 59049 = 156^2 + 243^2 .

It is not a de Polignac number, because 83385 - 2¹ = 83383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (6435).

2⁸³³⁸⁵ is an apocalyptic number.

83385 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83385 is a deficient number, since it is larger than the sum of its proper divisors (71055).

83385 is a wasteful number, since it uses less digits than its factorization.

83385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 134 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 83385 is about 288.7646100200. The cubic root of 83385 is about 43.6880483700.

The spelling of 83385 in words is "eighty-three thousand, three hundred eighty-five".