83245824 has 54 divisors (see below), whose sum is σ = 240024876. Its totient is φ = 27747840.

The previous prime is 83245823. The next prime is 83245829. The reversal of 83245824 is 42854238.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (83245823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15762 + ... + 20369.

Almost surely, 2^83245824 is an apocalyptic number.

It is an amenable number.

83245824 is an abundant number, since it is smaller than the sum of its proper divisors (156779052).

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

83245824 is a wasteful number, since it uses less digits than its factorization.

83245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36153 (or 36136 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 83245824 is about 9123.9149491871. The cubic root of 83245824 is about 436.6372859305.

It can be divided in two parts, 832 and 45824, that added together give a 6-th power (46656 = 6⁶).

The spelling of 83245824 in words is "eighty-three million, two hundred forty-five thousand, eight hundred twenty-four".