83516544 has 48 divisors (see below), whose sum is σ = 240330870. Its totient is φ = 27838464.

The previous prime is 83516539. The next prime is 83516551. The reversal of 83516544 is 44561538.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 7617600 = 8712^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83516499 and 83516508.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35097 + ... + 37400.

Almost surely, 2^83516544 is an apocalyptic number.

It is an amenable number.

83516544 is an abundant number, since it is smaller than the sum of its proper divisors (156814326).

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

83516544 is a wasteful number, since it uses less digits than its factorization.

83516544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72517 (or 72502 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 83516544 is about 9138.7386438173. The cubic root of 83516544 is about 437.1100965911.

The spelling of 83516544 in words is "eighty-three million, five hundred sixteen thousand, five hundred forty-four".