900585905 has 8 divisors (see below), whose sum is σ = 1084114152. Its totient is φ = 718194688.

The previous prime is 900585901. The next prime is 900585913. The reversal of 900585905 is 509585009.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4661281 + 895924624 = 2159^2 + 29932^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 900585905 - 2² = 900585901 is a prime.

It is a super-2 number, since 2×900585905² = 1622109944569338050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900585901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282512 + ... + 285681.

It is an arithmetic number, because the mean of its divisors is an integer number (135514269).

Almost surely, 2^900585905 is an apocalyptic number.

It is an amenable number.

900585905 is a deficient number, since it is larger than the sum of its proper divisors (183528247).

900585905 is a wasteful number, since it uses less digits than its factorization.

900585905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568515.

The product of its (nonzero) digits is 81000, while the sum is 41.

The square root of 900585905 is about 30009.7634945696. The cubic root of 900585905 is about 965.6988521418.

The spelling of 900585905 in words is "nine hundred million, five hundred eighty-five thousand, nine hundred five".