82314 has 24 divisors (see below), whose sum is σ = 189540. Its totient is φ = 25728.

The previous prime is 82307. The next prime is 82339. The reversal of 82314 is 41328.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 1089 = 285^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

82314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172 + ... + 440.

2⁸²³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94770).

82314 is an abundant number, since it is smaller than the sum of its proper divisors (107226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82314 is a wasteful number, since it uses less digits than its factorization.

82314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 291 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 82314 is about 286.9041651841. The cubic root of 82314 is about 43.5001981759.

The spelling of 82314 in words is "eighty-two thousand, three hundred fourteen".