83413224 has 48 divisors (see below), whose sum is σ = 226339620. Its totient is φ = 27751680.

The previous prime is 83413217. The next prime is 83413243. The reversal of 83413224 is 42231438.

It can be written as a sum of positive squares in 2 ways, for example, as 68062500 + 15350724 = 8250^2 + 3918^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62484 + ... + 63804.

Almost surely, 2^83413224 is an apocalyptic number.

It is an amenable number.

83413224 is an abundant number, since it is smaller than the sum of its proper divisors (142926396).

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

83413224 is a wasteful number, since it uses less digits than its factorization.

83413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2203 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 83413224 is about 9133.0840355271. The cubic root of 83413224 is about 436.9297696382.

The spelling of 83413224 in words is "eighty-three million, four hundred thirteen thousand, two hundred twenty-four".