83516 has 6 divisors (see below), whose sum is σ = 146160. Its totient is φ = 41756.

The previous prime is 83497. The next prime is 83537. The reversal of 83516 is 61538.

It is a junction number, because it is equal to n+sod(n) for n = 83491 and 83500.

It is a congruent number.

It is an unprimeable number.

83516 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 as a sum of consecutive naturals, namely, 10436 + ... + 10443.

It is an arithmetic number, because the mean of its divisors is an integer number (24360).

2⁸³⁵¹⁶ is an apocalyptic number.

It is an amenable number.

83516 is a deficient number, since it is larger than the sum of its proper divisors (62644).

83516 is a wasteful number, since it uses less digits than its factorization.

83516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20883 (or 20881 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 83516 is about 288.9913493515. The cubic root of 83516 is about 43.7109147524.

The spelling of 83516 in words is "eighty-three thousand, five hundred sixteen".