312421321 has 8 divisors (see below), whose sum is σ = 328494600. Its totient is φ = 296701440.

The previous prime is 312421309. The next prime is 312421327. The reversal of 312421321 is 123124213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5470921 + 306950400 = 2339^2 + 17520^2 .

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 312421321 - 2⁹ = 312420809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312421327) 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, 86536 + ... + 90073.

It is an arithmetic number, because the mean of its divisors is an integer number (41061825).

Almost surely, 2^312421321 is an apocalyptic number.

It is an amenable number.

312421321 is a deficient number, since it is larger than the sum of its proper divisors (16073279).

312421321 is a wasteful number, since it uses less digits than its factorization.

312421321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176699.

The product of its digits is 288, while the sum is 19.

The square root of 312421321 is about 17675.4440113961. Note that the first 3 decimals coincide. The cubic root of 312421321 is about 678.5474479915.

Adding to 312421321 its reverse (123124213), we get a palindrome (435545534).

The spelling of 312421321 in words is "three hundred twelve million, four hundred twenty-one thousand, three hundred twenty-one".