331065 has 24 divisors (see below), whose sum is σ = 656448. Its totient is φ = 151200.

The previous prime is 331063. The next prime is 331081. The reversal of 331065 is 560133.

331065 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 331065 - 2¹ = 331063 is a prime.

331065 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (331063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (27352).

2³³¹⁰⁶⁵ is an apocalyptic number.

331065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

331065 is a deficient number, since it is larger than the sum of its proper divisors (325383).

331065 is a wasteful number, since it uses less digits than its factorization.

331065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 331065 is about 575.3824814851. The cubic root of 331065 is about 69.1784918734.

Adding to 331065 its reverse (560133), we get a palindrome (891198).

It can be divided in two parts, 3310 and 65, that added together give a cube (3375 = 15³).

The spelling of 331065 in words is "three hundred thirty-one thousand, sixty-five".