331409 has 12 divisors (see below), whose sum is σ = 375516. Its totient is φ = 292032.

The previous prime is 331399. The next prime is 331423. The reversal of 331409 is 904133.

It can be written as a sum of positive squares in 6 ways, for example, as 784 + 330625 = 28^2 + 575^2 .

It is not a de Polignac number, because 331409 - 2⁸ = 331153 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331409.

It is not an unprimeable number, because it can be changed into a prime (331489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6227 + ... + 6279.

It is an arithmetic number, because the mean of its divisors is an integer number (31293).

2³³¹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

331409 is a deficient number, since it is larger than the sum of its proper divisors (44107).

331409 is a wasteful number, since it uses less digits than its factorization.

331409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

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

The square root of 331409 is about 575.6813354626. The cubic root of 331409 is about 69.2024440314.

The spelling of 331409 in words is "three hundred thirty-one thousand, four hundred nine".