83612916 has 54 divisors (see below), whose sum is σ = 219418290. Its totient is φ = 26814816.

The previous prime is 83612909. The next prime is 83612927. The reversal of 83612916 is 61921638.

83612916 is a `hidden beast` number, since 8 + 361 + 291 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72080100 + 11532816 = 8490^2 + 3396^2 .

It is a super-2 number, since 2×83612916² = 13982239444046112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295311 + ... + 295593.

Almost surely, 2^83612916 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 83612916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109709145).

83612916 is an abundant number, since it is smaller than the sum of its proper divisors (135805374).

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

83612916 is a wasteful number, since it uses less digits than its factorization.

83612916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 317 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 83612916 is about 9144.0098425144. The cubic root of 83612916 is about 437.2781630182.

The spelling of 83612916 in words is "eighty-three million, six hundred twelve thousand, nine hundred sixteen".