312022001 has 2 divisors, whose sum is σ = 312022002. Its totient is φ = 312022000.

The previous prime is 312021907. The next prime is 312022003. The reversal of 312022001 is 100220213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231040000 + 80982001 = 15200^2 + 8999^2 .

It is an emirp because it is prime and its reverse (100220213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312022001 - 2¹⁸ = 311759857 is a prime.

Together with 312022003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312022003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156011000 + 156011001.

It is an arithmetic number, because the mean of its divisors is an integer number (156011001).

Almost surely, 2^312022001 is an apocalyptic number.

It is an amenable number.

312022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312022001 is an equidigital number, since it uses as much as digits as its factorization.

312022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 312022001 is about 17664.1445023528. The cubic root of 312022001 is about 678.2582305450.

Adding to 312022001 its reverse (100220213), we get a palindrome (412242214).

The spelling of 312022001 in words is "three hundred twelve million, twenty-two thousand, one".