90380225 has 48 divisors (see below), whose sum is σ = 128241792. Its totient is φ = 62684160.

The previous prime is 90380203. The next prime is 90380237. The reversal of 90380225 is 52208309.

It is not a de Polignac number, because 90380225 - 2¹⁶ = 90314689 is a prime.

It is a Duffinian 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 47 ways as a sum of consecutive naturals, for example, 799769 + ... + 799881.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^90380225 is an apocalyptic number.

It is an amenable number.

90380225 is a deficient number, since it is larger than the sum of its proper divisors (37861567).

90380225 is a wasteful number, since it uses less digits than its factorization.

90380225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 90380225 is about 9506.8514766983. The cubic root of 90380225 is about 448.7706776836.

The spelling of 90380225 in words is "ninety million, three hundred eighty thousand, two hundred twenty-five".