90838125 has 80 divisors (see below), whose sum is σ = 192438400. Its totient is φ = 41472000.

The previous prime is 90838081. The next prime is 90838133. The reversal of 90838125 is 52183809.

It is not a de Polignac number, because 90838125 - 2¹¹ = 90836077 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90838125.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 117741 + ... + 118509.

It is an arithmetic number, because the mean of its divisors is an integer number (2405480).

Almost surely, 2^90838125 is an apocalyptic number.

It is an amenable number.

90838125 is an abundant number, since it is smaller than the sum of its proper divisors (101600275).

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

90838125 is an equidigital number, since it uses as much as digits as its factorization.

90838125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 90838125 is about 9530.9036822329. The cubic root of 90838125 is about 449.5272813674.

The spelling of 90838125 in words is "ninety million, eight hundred thirty-eight thousand, one hundred twenty-five".