331306349 has 12 divisors (see below), whose sum is σ = 364745052. Its totient is φ = 300706560.

The previous prime is 331306343. The next prime is 331306351. The reversal of 331306349 is 943603133.

It can be written as a sum of positive squares in 2 ways, for example, as 72675625 + 258630724 = 8525^2 + 16082^2 .

It is not a de Polignac number, because 331306349 - 2⁴ = 331306333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331306343) 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 in 11 ways as a sum of consecutive naturals, for example, 89789 + ... + 93405.

It is an arithmetic number, because the mean of its divisors is an integer number (30395421).

Almost surely, 2^331306349 is an apocalyptic number.

It is an amenable number.

331306349 is a deficient number, since it is larger than the sum of its proper divisors (33438703).

331306349 is a wasteful number, since it uses less digits than its factorization.

331306349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 32.

The square root of 331306349 is about 18201.8226834567. The cubic root of 331306349 is about 691.9529834574.

The spelling of 331306349 in words is "three hundred thirty-one million, three hundred six thousand, three hundred forty-nine".