83313 has 6 divisors (see below), whose sum is σ = 120354. Its totient is φ = 55536.

The previous prime is 83311. The next prime is 83339. The reversal of 83313 is 31338.

83313 = 42² + 43² + ... + 68².

It can be written as a sum of positive squares in only one way, i.e., 51984 + 31329 = 228^2 + 177^2 .

It is not a de Polignac number, because 83313 - 2¹ = 83311 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4620 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (20059).

2⁸³³¹³ is an apocalyptic number.

It is an amenable number.

83313 is a deficient number, since it is larger than the sum of its proper divisors (37041).

83313 is a wasteful number, since it uses less digits than its factorization.

83313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263 (or 9260 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 83313 is about 288.6399140798. The cubic root of 83313 is about 43.6754703873.

It can be divided in two parts, 8 and 3313, that added together give a triangular number (3321 = T₈₁).

The spelling of 83313 in words is "eighty-three thousand, three hundred thirteen".