83825352 has 108 divisors (see below), whose sum is σ = 248831505. Its totient is φ = 25481664.

The previous prime is 83825347. The next prime is 83825353. The reversal of 83825352 is 25352838.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 71673156 + 12152196 = 8466^2 + 3486^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6474.

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 (83825353) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1009903 + ... + 1009985.

Almost surely, 2^83825352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83825352

83825352 is an abundant number, since it is smaller than the sum of its proper divisors (165006153).

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

83825352 is a wasteful number, since it uses less digits than its factorization.

83825352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 101 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 83825352 is about 9155.6186028034. The cubic root of 83825352 is about 437.6481818594.

The spelling of 83825352 in words is "eighty-three million, eight hundred twenty-five thousand, three hundred fifty-two".