90577509 has 8 divisors (see below), whose sum is σ = 131749152. Its totient is φ = 54895440.

The previous prime is 90577499. The next prime is 90577561.

It is a happy number.

90577509 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90577509 - 2²³ = 82188901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90577609) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1372354 + ... + 1372419.

It is an arithmetic number, because the mean of its divisors is an integer number (16468644).

Almost surely, 2^90577509 is an apocalyptic number.

It is an amenable number.

90577509 is a deficient number, since it is larger than the sum of its proper divisors (41171643).

90577509 is a wasteful number, since it uses less digits than its factorization.

90577509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744787.

The product of its (nonzero) digits is 99225, while the sum is 42.

The square root of 90577509 is about 9517.2217059392. The cubic root of 90577509 is about 449.0969693159.

The spelling of 90577509 in words is "ninety million, five hundred seventy-seven thousand, five hundred nine".