312312001 has 2 divisors, whose sum is σ = 312312002. Its totient is φ = 312312000.

The previous prime is 312311983. The next prime is 312312019. The reversal of 312312001 is 100213213.

It is a balanced prime because it is at equal distance from previous prime (312311983) and next prime (312312019).

It can be written as a sum of positive squares in only one way, i.e., 222725776 + 89586225 = 14924^2 + 9465^2 .

It is an emirp because it is prime and its reverse (100213213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312312001 - 2⁵ = 312311969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312372001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156000 + 156156001.

It is an arithmetic number, because the mean of its divisors is an integer number (156156001).

Almost surely, 2^312312001 is an apocalyptic number.

It is an amenable number.

312312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312312001 is an equidigital number, since it uses as much as digits as its factorization.

312312001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312312001 is about 17672.3513149779. The cubic root of 312312001 is about 678.4682947714.

Adding to 312312001 its reverse (100213213), we get a palindrome (412525214).

The spelling of 312312001 in words is "three hundred twelve million, three hundred twelve thousand, one".