312395221 has 8 divisors (see below), whose sum is σ = 323713080. Its totient is φ = 301113792.

The previous prime is 312395203. The next prime is 312395231. The reversal of 312395221 is 122593213.

It can be written as a sum of positive squares in 4 ways, for example, as 6320196 + 306075025 = 2514^2 + 17495^2 .

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 312395221 - 2¹³ = 312387029 is a prime.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 312395221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312395201) 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, 8991 + ... + 26563.

It is an arithmetic number, because the mean of its divisors is an integer number (40464135).

Almost surely, 2^312395221 is an apocalyptic number.

It is an amenable number.

312395221 is a deficient number, since it is larger than the sum of its proper divisors (11317859).

312395221 is a wasteful number, since it uses less digits than its factorization.

312395221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18215.

The product of its digits is 3240, while the sum is 28.

The square root of 312395221 is about 17674.7056835468. The cubic root of 312395221 is about 678.5285519469.

The spelling of 312395221 in words is "three hundred twelve million, three hundred ninety-five thousand, two hundred twenty-one".