31000349 has 2 divisors, whose sum is σ = 31000350. Its totient is φ = 31000348.

The previous prime is 31000337. The next prime is 31000351. The reversal of 31000349 is 94300013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18645124 + 12355225 = 4318^2 + 3515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31000349 is a prime.

It is a super-2 number, since 2×31000349² = 1922043276243602, which contains 22 as substring.

Together with 31000351, it forms a pair of twin primes.

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 31000349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31000309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500174 + 15500175.

It is an arithmetic number, because the mean of its divisors is an integer number (15500175).

Almost surely, 2^31000349 is an apocalyptic number.

It is an amenable number.

31000349 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000349 is an equidigital number, since it uses as much as digits as its factorization.

31000349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 31000349 is about 5567.7957038670. The cubic root of 31000349 is about 314.1392440969.

The spelling of 31000349 in words is "thirty-one million, three hundred forty-nine", and thus it is an aban number.