315120221 has 8 divisors (see below), whose sum is σ = 339679704. Its totient is φ = 290606400.

The previous prime is 315120203. The next prime is 315120227. The reversal of 315120221 is 122021513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4972900 + 310147321 = 2230^2 + 17611^2 .

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 315120221 - 2²² = 310925917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 315120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315120227) 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, 3671 + ... + 25371.

It is an arithmetic number, because the mean of its divisors is an integer number (42459963).

Almost surely, 2^315120221 is an apocalyptic number.

It is an amenable number.

315120221 is a deficient number, since it is larger than the sum of its proper divisors (24559483).

315120221 is a wasteful number, since it uses less digits than its factorization.

315120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22831.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 315120221 is about 17751.6258691986. The cubic root of 315120221 is about 680.4957608775.

Adding to 315120221 its reverse (122021513), we get a palindrome (437141734).

The spelling of 315120221 in words is "three hundred fifteen million, one hundred twenty thousand, two hundred twenty-one".