31007349 has 12 divisors (see below), whose sum is σ = 44856396. Its totient is φ = 20640192.

The previous prime is 31007329. The next prime is 31007359. The reversal of 31007349 is 94370013.

31007349 is a `hidden beast` number, since 310 + 0 + 7 + 349 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10595025 + 20412324 = 3255^2 + 4518^2 .

It is not a de Polignac number, because 31007349 - 2²³ = 22618741 is a prime.

It is a super-2 number, since 2×31007349² = 1922911384015602, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31007329) 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 in 11 ways as a sum of consecutive naturals, for example, 4729 + ... + 9185.

It is an arithmetic number, because the mean of its divisors is an integer number (3738033).

Almost surely, 2^31007349 is an apocalyptic number.

It is an amenable number.

31007349 is a deficient number, since it is larger than the sum of its proper divisors (13849047).

31007349 is a wasteful number, since it uses less digits than its factorization.

31007349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31007349 is about 5568.4242834037. The cubic root of 31007349 is about 314.1628869406.

The spelling of 31007349 in words is "thirty-one million, seven thousand, three hundred forty-nine".