83393424 has 45 divisors (see below), whose sum is σ = 233692849. Its totient is φ = 27761280.

The previous prime is 83393419. The next prime is 83393437. The reversal of 83393424 is 42439338.

It is a happy number.

The square root of 83393424 is 9132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 219024 + 83174400 = 468^2 + 9120^2 .

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

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109204 + ... + 109964.

Almost surely, 2^83393424 is an apocalyptic number.

83393424 is the 9132-nd square number.

It is an amenable number.

83393424 is an abundant number, since it is smaller than the sum of its proper divisors (150299425).

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

83393424 is an equidigital number, since it uses as much as digits as its factorization.

83393424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 766 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The cubic root of 83393424 is about 436.8951952081.

Multiplying 83393424 by its sum of digits (36), we get a square (3002163264 = 54792²).

83393424 divided by its sum of digits (36) gives a square (2316484 = 1522²).

The spelling of 83393424 in words is "eighty-three million, three hundred ninety-three thousand, four hundred twenty-four".