312984041 has 2 divisors, whose sum is σ = 312984042. Its totient is φ = 312984040.

The previous prime is 312984031. The next prime is 312984079. The reversal of 312984041 is 140489213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169104016 + 143880025 = 13004^2 + 11995^2 .

It is a cyclic number.

It is not a de Polignac number, because 312984041 - 2¹⁰ = 312983017 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312983989 and 312984007.

It is not a weakly prime, because it can be changed into another prime (312984031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156492020 + 156492021.

It is an arithmetic number, because the mean of its divisors is an integer number (156492021).

Almost surely, 2^312984041 is an apocalyptic number.

It is an amenable number.

312984041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312984041 is an equidigital number, since it uses as much as digits as its factorization.

312984041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 312984041 is about 17691.3549791982. The cubic root of 312984041 is about 678.9545939156.

The spelling of 312984041 in words is "three hundred twelve million, nine hundred eighty-four thousand, forty-one".