337400007073 has 2 divisors, whose sum is σ = 337400007074. Its totient is φ = 337400007072.

The previous prime is 337400007053. The next prime is 337400007149. The reversal of 337400007073 is 370700004733.

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., 223404639649 + 113995367424 = 472657^2 + 337632^2 .

It is a cyclic number.

It is not a de Polignac number, because 337400007073 - 2²⁹ = 336863136161 is a prime.

It is a super-2 number, since 2×337400007073² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (337400007053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168700003536 + 168700003537.

It is an arithmetic number, because the mean of its divisors is an integer number (168700003537).

Almost surely, 2^337400007073 is an apocalyptic number.

It is an amenable number.

337400007073 is a deficient number, since it is larger than the sum of its proper divisors (1).

337400007073 is an equidigital number, since it uses as much as digits as its factorization.

337400007073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 34.

The spelling of 337400007073 in words is "three hundred thirty-seven billion, four hundred million, seven thousand, seventy-three".