83314 has 16 divisors (see below), whose sum is σ = 156096. Its totient is φ = 32400.

The previous prime is 83311. The next prime is 83339. The reversal of 83314 is 41338.

It is a junction number, because it is equal to n+sod(n) for n = 83291 and 83300.

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 7 ways as a sum of consecutive naturals, for example, 117 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (9756).

2⁸³³¹⁴ is an apocalyptic number.

83314 is a deficient number, since it is larger than the sum of its proper divisors (72782).

83314 is a wasteful number, since it uses less digits than its factorization.

83314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561.

The product of its digits is 288, while the sum is 19.

The square root of 83314 is about 288.6416463368. The cubic root of 83314 is about 43.6756451311.

It can be divided in two parts, 83 and 314, that multiplied together give a palindrome (26062).

The spelling of 83314 in words is "eighty-three thousand, three hundred fourteen".