331289 has 6 divisors (see below), whose sum is σ = 385434. Its totient is φ = 283920.

The previous prime is 331283. The next prime is 331301. The reversal of 331289 is 982133.

331289 = 57² + 58² + ... + 105².

It can be written as a sum of positive squares in only one way, i.e., 313600 + 17689 = 560^2 + 133^2 .

It is not a de Polignac number, because 331289 - 2¹² = 327193 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331289.

It is not an unprimeable number, because it can be changed into a prime (331283) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3332 + ... + 3429.

It is an arithmetic number, because the mean of its divisors is an integer number (64239).

2³³¹²⁸⁹ is an apocalyptic number.

It is an amenable number.

331289 is a deficient number, since it is larger than the sum of its proper divisors (54145).

331289 is an equidigital number, since it uses as much as digits as its factorization.

331289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775 (or 6768 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 331289 is about 575.5771016988. The cubic root of 331289 is about 69.1940905108.

It can be divided in two parts, 331 and 289, that multiplied together give a palindrome (95659).

The spelling of 331289 in words is "three hundred thirty-one thousand, two hundred eighty-nine".