312444241 has 8 divisors (see below), whose sum is σ = 331097544. Its totient is φ = 293821440.

The previous prime is 312444229. The next prime is 312444311. The reversal of 312444241 is 142444213.

It can be written as a sum of positive squares in 4 ways, for example, as 182142016 + 130302225 = 13496^2 + 11415^2 .

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 312444241 - 2²⁷ = 178226513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312444211) 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, 15501 + ... + 29413.

It is an arithmetic number, because the mean of its divisors is an integer number (41387193).

Almost surely, 2^312444241 is an apocalyptic number.

It is an amenable number.

312444241 is a deficient number, since it is larger than the sum of its proper divisors (18653303).

312444241 is a wasteful number, since it uses less digits than its factorization.

312444241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15251.

The product of its digits is 3072, while the sum is 25.

The square root of 312444241 is about 17676.0923566268. The cubic root of 312444241 is about 678.5640408915.

Adding to 312444241 its reverse (142444213), we get a palindrome (454888454).

The spelling of 312444241 in words is "three hundred twelve million, four hundred forty-four thousand, two hundred forty-one".