83047824 has 30 divisors (see below), whose sum is σ = 232418966. Its totient is φ = 27682560.

The previous prime is 83047823. The next prime is 83047849. The reversal of 83047824 is 42874038.

It can be written as a sum of positive squares in only one way, i.e., 58247424 + 24800400 = 7632^2 + 4980^2 .

It is a super-2 number, since 2×83047824² = 13793882142269952, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (83047823) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 288217 + ... + 288504.

Almost surely, 2^83047824 is an apocalyptic number.

It is an amenable number.

83047824 is an abundant number, since it is smaller than the sum of its proper divisors (149371142).

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

83047824 is a wasteful number, since it uses less digits than its factorization.

83047824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576735 (or 576726 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 83047824 is about 9113.0578841572. The cubic root of 83047824 is about 436.2908308458.

The spelling of 83047824 in words is "eighty-three million, forty-seven thousand, eight hundred twenty-four".