9000658172 has 96 divisors (see below), whose sum is σ = 18592616448. Its totient is φ = 3769920000.

The previous prime is 9000658157. The next prime is 9000658187. The reversal of 9000658172 is 2718560009.

9000658172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9000658157) and next prime (9000658187).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8815022 + ... + 8816042.

It is an arithmetic number, because the mean of its divisors is an integer number (193673088).

Almost surely, 2^9000658172 is an apocalyptic number.

9000658172 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9000658172 is an abundant number, since it is smaller than the sum of its proper divisors (9591958276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9000658172 is a wasteful number, since it uses less digits than its factorization.

9000658172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 9000658172 is about 94871.7986126541. The cubic root of 9000658172 is about 2080.1345274800.

The spelling of 9000658172 in words is "nine billion, six hundred fifty-eight thousand, one hundred seventy-two".