312253221 has 32 divisors (see below), whose sum is σ = 502548480. Its totient is φ = 168594624.

The previous prime is 312253217. The next prime is 312253223. The reversal of 312253221 is 122352213.

It is not a de Polignac number, because 312253221 - 2² = 312253217 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312253223) 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, 36195 + ... + 43983.

It is an arithmetic number, because the mean of its divisors is an integer number (15704640).

Almost surely, 2^312253221 is an apocalyptic number.

It is an amenable number.

312253221 is a deficient number, since it is larger than the sum of its proper divisors (190295259).

312253221 is a wasteful number, since it uses less digits than its factorization.

312253221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905.

The product of its digits is 720, while the sum is 21.

The square root of 312253221 is about 17670.6881869383. The cubic root of 312253221 is about 678.4257274366.

The spelling of 312253221 in words is "three hundred twelve million, two hundred fifty-three thousand, two hundred twenty-one".