83746325 has 24 divisors (see below), whose sum is σ = 112576128. Its totient is φ = 61433280.

The previous prime is 83746309. The next prime is 83746337. The reversal of 83746325 is 52364738.

It is not a de Polignac number, because 83746325 - 2⁴ = 83746309 is a prime.

It is a Duffinian number.

Its product of digits (120960) is a multiple of the sum of its prime divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53504 + ... + 55046.

It is an arithmetic number, because the mean of its divisors is an integer number (4690672).

Almost surely, 2^83746325 is an apocalyptic number.

It is an amenable number.

83746325 is a deficient number, since it is larger than the sum of its proper divisors (28829803).

83746325 is a wasteful number, since it uses less digits than its factorization.

83746325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1728 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 83746325 is about 9151.3018199598. The cubic root of 83746325 is about 437.5106065456.

The spelling of 83746325 in words is "eighty-three million, seven hundred forty-six thousand, three hundred twenty-five".