311904001 has 2 divisors, whose sum is σ = 311904002. Its totient is φ = 311904000.

The previous prime is 311903987. The next prime is 311904007. The reversal of 311904001 is 100409113.

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., 310640625 + 1263376 = 17625^2 + 1124^2 .

It is a cyclic number.

It is not a de Polignac number, because 311904001 - 2⁹ = 311903489 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311904001.

It is not a weakly prime, because it can be changed into another prime (311904007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155952000 + 155952001.

It is an arithmetic number, because the mean of its divisors is an integer number (155952001).

Almost surely, 2^311904001 is an apocalyptic number.

It is an amenable number.

311904001 is a deficient number, since it is larger than the sum of its proper divisors (1).

311904001 is an equidigital number, since it uses as much as digits as its factorization.

311904001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 311904001 is about 17660.8040870171. The cubic root of 311904001 is about 678.1727188800.

The spelling of 311904001 in words is "three hundred eleven million, nine hundred four thousand, one".