331093 has 12 divisors (see below), whose sum is σ = 400140. Its totient is φ = 272832.

The previous prime is 331081. The next prime is 331099. The reversal of 331093 is 390133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 117649 + 213444 = 343^2 + 462^2 .

It is not a de Polignac number, because 331093 - 2¹³ = 322901 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331099) 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, 1305 + ... + 1537.

It is an arithmetic number, because the mean of its divisors is an integer number (33345).

2³³¹⁰⁹³ is an apocalyptic number.

It is an amenable number.

331093 is a deficient number, since it is larger than the sum of its proper divisors (69047).

331093 is a wasteful number, since it uses less digits than its factorization.

331093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 331093 is about 575.4068126117. The cubic root of 331093 is about 69.1804420878.

It can be divided in two parts, 3310 and 93, that added together give a triangular number (3403 = T₈₂).

The spelling of 331093 in words is "three hundred thirty-one thousand, ninety-three".