83538325 has 24 divisors (see below), whose sum is σ = 112008456. Its totient is φ = 61440000.

The previous prime is 83538319. The next prime is 83538331. The reversal of 83538325 is 52383538.

It is an interprime number because it is at equal distance from previous prime (83538319) and next prime (83538331).

It can be written as a sum of positive squares in 12 ways, for example, as 1943236 + 81595089 = 1394^2 + 9033^2 .

It is a de Polignac number, because none of the positive numbers 2^k-83538325 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130005 + ... + 130645.

It is an arithmetic number, because the mean of its divisors is an integer number (4667019).

Almost surely, 2^83538325 is an apocalyptic number.

It is an amenable number.

83538325 is a deficient number, since it is larger than the sum of its proper divisors (28470131).

83538325 is a wasteful number, since it uses less digits than its factorization.

83538325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1060 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 83538325 is about 9139.9302513750. The cubic root of 83538325 is about 437.1480925258.

The spelling of 83538325 in words is "eighty-three million, five hundred thirty-eight thousand, three hundred twenty-five".