900165 has 16 divisors (see below), whose sum is σ = 1646208. Its totient is φ = 411456.

The previous prime is 900161. The next prime is 900169. The reversal of 900165 is 561009.

It is an interprime number because it is at equal distance from previous prime (900161) and next prime (900169).

It is not a de Polignac number, because 900165 - 2² = 900161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

900165 is a modest number, since divided by 165 gives 90 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4182 + ... + 4391.

It is an arithmetic number, because the mean of its divisors is an integer number (102888).

2⁹⁰⁰¹⁶⁵ is an apocalyptic number.

It is an amenable number.

900165 is a deficient number, since it is larger than the sum of its proper divisors (746043).

900165 is a wasteful number, since it uses less digits than its factorization.

900165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 900165 is about 948.7702567007. The cubic root of 900165 is about 96.5548383129.

The spelling of 900165 in words is "nine hundred thousand, one hundred sixty-five".