83825424 has 60 divisors (see below), whose sum is σ = 240950476. Its totient is φ = 27184896.

The previous prime is 83825377. The next prime is 83825431. The reversal of 83825424 is 42452838.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 41990400 = 6468^2 + 6480^2 .

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

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, 2539 + ... + 13194.

Almost surely, 2^83825424 is an apocalyptic number.

It is an amenable number.

83825424 is an abundant number, since it is smaller than the sum of its proper divisors (157125052).

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

83825424 is a wasteful number, since it uses less digits than its factorization.

83825424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15784 (or 15775 counting only the distinct ones).

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

The square root of 83825424 is about 9155.6225348143. The cubic root of 83825424 is about 437.6483071622.

It can be divided in two parts, 838 and 25424, that added together give a palindrome (26262).

The spelling of 83825424 in words is "eighty-three million, eight hundred twenty-five thousand, four hundred twenty-four".