900212313 has 32 divisors (see below), whose sum is σ = 1611574272. Its totient is φ = 431668800.

The previous prime is 900212303. The next prime is 900212329. The reversal of 900212313 is 313212009.

It is a happy number.

It is not a de Polignac number, because 900212313 - 2¹⁰ = 900211289 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 900212313.

It is not an unprimeable number, because it can be changed into a prime (900212303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146883 + ... + 152888.

It is an arithmetic number, because the mean of its divisors is an integer number (50361696).

Almost surely, 2^900212313 is an apocalyptic number.

It is an amenable number.

900212313 is a deficient number, since it is larger than the sum of its proper divisors (711361959).

900212313 is a wasteful number, since it uses less digits than its factorization.

900212313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299805.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 900212313 is about 30003.5383413357. The cubic root of 900212313 is about 965.5652993578.

The spelling of 900212313 in words is "nine hundred million, two hundred twelve thousand, three hundred thirteen".