900153 has 10 divisors (see below), whose sum is σ = 1344794. Its totient is φ = 600048.

The previous prime is 900149. The next prime is 900157. The reversal of 900153 is 351009.

It is an interprime number because it is at equal distance from previous prime (900149) and next prime (900157).

It can be written as a sum of positive squares in only one way, i.e., 480249 + 419904 = 693^2 + 648^2 .

It is not a de Polignac number, because 900153 - 2² = 900149 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 900153.

It is not an unprimeable number, because it can be changed into a prime (900157) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5476 + ... + 5637.

2⁹⁰⁰¹⁵³ is an apocalyptic number.

It is an amenable number.

900153 is a deficient number, since it is larger than the sum of its proper divisors (444641).

900153 is a wasteful number, since it uses less digits than its factorization.

900153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 900153 is about 948.7639327040. The cubic root of 900153 is about 96.5544092571.

The spelling of 900153 in words is "nine hundred thousand, one hundred fifty-three".