90005149 has 16 divisors (see below), whose sum is σ = 100900800. Its totient is φ = 79744896.

The previous prime is 90005137. The next prime is 90005173. The reversal of 90005149 is 94150009.

It is a cyclic number.

It is not a de Polignac number, because 90005149 - 2¹¹ = 90003101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90005549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31617 + ... + 34345.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^90005149 is an apocalyptic number.

It is an amenable number.

90005149 is a deficient number, since it is larger than the sum of its proper divisors (10895651).

90005149 is a wasteful number, since it uses less digits than its factorization.

90005149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 90005149 is about 9487.1043527517. The cubic root of 90005149 is about 448.1490206976.

The spelling of 90005149 in words is "ninety million, five thousand, one hundred forty-nine".