331089 has 16 divisors (see below), whose sum is σ = 491520. Its totient is φ = 196560.

The previous prime is 331081. The next prime is 331099. The reversal of 331089 is 980133.

It is not a de Polignac number, because 331089 - 2³ = 331081 is a prime.

331089 is a modest number, since divided by 1089 gives 33 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331089.

It is not an unprimeable number, because it can be changed into a prime (331081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2544 + ... + 2670.

It is an arithmetic number, because the mean of its divisors is an integer number (30720).

2³³¹⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

331089 is a deficient number, since it is larger than the sum of its proper divisors (160431).

331089 is a wasteful number, since it uses less digits than its factorization.

331089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 331089 is about 575.4033367995. The cubic root of 331089 is about 69.1801634925.

It can be divided in two parts, 33 and 1089, that multiplied together give a cube (35937 = 33³).

The spelling of 331089 in words is "three hundred thirty-one thousand, eighty-nine".