83361312 has 120 divisors (see below), whose sum is σ = 253845900. Its totient is φ = 26804736.

The previous prime is 83361293. The next prime is 83361359. The reversal of 83361312 is 21316338.

It is a happy number.

83361312 is a `hidden beast` number, since 8 + 33 + 613 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75272976 + 8088336 = 8676^2 + 2844^2 .

It is a super-2 number, since 2×83361312² = 13898216676722688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74614 + ... + 75722.

Almost surely, 2^83361312 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 83361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126922950).

83361312 is an abundant number, since it is smaller than the sum of its proper divisors (170484588).

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

83361312 is a wasteful number, since it uses less digits than its factorization.

83361312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1143 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 83361312 is about 9130.2416178325. The cubic root of 83361312 is about 436.8391101317.

The spelling of 83361312 in words is "eighty-three million, three hundred sixty-one thousand, three hundred twelve".