900312 has 64 divisors (see below), whose sum is σ = 2695680. Its totient is φ = 244992.

The previous prime is 900307. The next prime is 900329. The reversal of 900312 is 213009.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 900291 and 900300.

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, 3748 + ... + 3980.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2⁹⁰⁰³¹² is an apocalyptic number.

900312 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347840).

900312 is an abundant number, since it is smaller than the sum of its proper divisors (1795368).

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

900312 is a wasteful number, since it uses less digits than its factorization.

900312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 900312 is about 948.8477222400. The cubic root of 900312 is about 96.5600939378.

The spelling of 900312 in words is "nine hundred thousand, three hundred twelve".