36516 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 11392.

The previous prime is 36497. The next prime is 36523. The reversal of 36516 is 61563.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 36492 and 36501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2³⁶⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

36516 is an abundant number, since it is smaller than the sum of its proper divisors (54204).

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

36516 is a wasteful number, since it uses less digits than its factorization.

36516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 36516 is about 191.0916010713. The cubic root of 36516 is about 33.1762834443.

The spelling of 36516 in words is "thirty-six thousand, five hundred sixteen".