331349209 has 9 divisors (see below), whose sum is σ = 336431487. Its totient is φ = 326343384.

The previous prime is 331349153. The next prime is 331349219. The reversal of 331349209 is 902943133.

The square root of 331349209 is 18203.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 230948809 + 100400400 = 15197^2 + 10020^2 .

It is not a de Polignac number, because 331349209 - 2⁹ = 331348697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331349219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1984044 + ... + 1984210.

Almost surely, 2^331349209 is an apocalyptic number.

331349209 is the 18203-rd square number.

331349209 is the 9102-nd centered octagonal number.

It is an amenable number.

331349209 is a deficient number, since it is larger than the sum of its proper divisors (5082278).

331349209 is an frugal number, since it uses more digits than its factorization.

331349209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The cubic root of 331349209 is about 691.9828207225.

The spelling of 331349209 in words is "three hundred thirty-one million, three hundred forty-nine thousand, two hundred nine".