900013 has 8 divisors (see below), whose sum is σ = 950400. Its totient is φ = 850608.

The previous prime is 900007. The next prime is 900019. The reversal of 900013 is 310009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (900007) and next prime (900019).

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 900013 - 2⁵ = 899981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 899966 and 900002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900019) 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, 2328 + ... + 2686.

It is an arithmetic number, because the mean of its divisors is an integer number (118800).

2⁹⁰⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

900013 is a deficient number, since it is larger than the sum of its proper divisors (50387).

900013 is a wasteful number, since it uses less digits than its factorization.

900013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 900013 is about 948.6901496274. The cubic root of 900013 is about 96.5494033236.

The spelling of 900013 in words is "nine hundred thousand, thirteen".