90058085 has 16 divisors (see below), whose sum is σ = 116886000. Its totient is φ = 66216960.

The previous prime is 90058057. The next prime is 90058123. The reversal of 90058085 is 58085009.

It can be written as a sum of positive squares in 8 ways, for example, as 17859076 + 72199009 = 4226^2 + 8497^2 .

It is not a de Polignac number, because 90058085 - 2¹⁰ = 90057061 is a prime.

It is a super-2 number, since 2×90058085² = 16220917347734450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12791 + ... + 18539.

It is an arithmetic number, because the mean of its divisors is an integer number (7305375).

Almost surely, 2^90058085 is an apocalyptic number.

It is an amenable number.

90058085 is a deficient number, since it is larger than the sum of its proper divisors (26827915).

90058085 is a wasteful number, since it uses less digits than its factorization.

90058085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008.

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 90058085 is about 9489.8938350226. The cubic root of 90058085 is about 448.2368622172.

It can be divided in two parts, 900 and 58085, that added together give a palindrome (58985).

The spelling of 90058085 in words is "ninety million, fifty-eight thousand, eighty-five".