82516 has 18 divisors (see below), whose sum is σ = 168378. Its totient is φ = 35280.

The previous prime is 82507. The next prime is 82529. The reversal of 82516 is 61528.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 38416 = 210^2 + 196^2 .

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

82516 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 5 ways as a sum of consecutive naturals, for example, 15 + ... + 406.

2⁸²⁵¹⁶ is an apocalyptic number.

It is an amenable number.

82516 is an abundant number, since it is smaller than the sum of its proper divisors (85862).

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

82516 is a wasteful number, since it uses less digits than its factorization.

82516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 82516 is about 287.2559834016. The cubic root of 82516 is about 43.5357525245.

It can be divided in two parts, 825 and 16, that added together give a square (841 = 29²).

The spelling of 82516 in words is "eighty-two thousand, five hundred sixteen".