334004431297 has 2 divisors, whose sum is σ = 334004431298. Its totient is φ = 334004431296.

The previous prime is 334004431261. The next prime is 334004431333. The reversal of 334004431297 is 792134400433.

It is a balanced prime because it is at equal distance from previous prime (334004431261) and next prime (334004431333).

It can be written as a sum of positive squares in only one way, i.e., 241155637776 + 92848793521 = 491076^2 + 304711^2 .

It is a cyclic number.

It is not a de Polignac number, because 334004431297 - 2²³ = 333996042689 is a prime.

It is a super-2 number, since 2×334004431297² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (334004491297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167002215648 + 167002215649.

It is an arithmetic number, because the mean of its divisors is an integer number (167002215649).

Almost surely, 2^334004431297 is an apocalyptic number.

It is an amenable number.

334004431297 is a deficient number, since it is larger than the sum of its proper divisors (1).

334004431297 is an equidigital number, since it uses as much as digits as its factorization.

334004431297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 334004431297 in words is "three hundred thirty-four billion, four million, four hundred thirty-one thousand, two hundred ninety-seven".