82313 has 8 divisors (see below), whose sum is σ = 102720. Its totient is φ = 64080.

The previous prime is 82307. The next prime is 82339. The reversal of 82313 is 31328.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82313 - 2¹⁴ = 65929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82291 and 82300.

It is not an unprimeable number, because it can be changed into a prime (82373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (12840).

2⁸²³¹³ is an apocalyptic number.

It is an amenable number.

82313 is a deficient number, since it is larger than the sum of its proper divisors (20407).

82313 is a wasteful number, since it uses less digits than its factorization.

82313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087.

The product of its digits is 144, while the sum is 17.

The square root of 82313 is about 286.9024224366. The cubic root of 82313 is about 43.5000220196.

The spelling of 82313 in words is "eighty-two thousand, three hundred thirteen".