289191 has 16 divisors (see below), whose sum is σ = 451584. Its totient is φ = 161184.

The previous prime is 289189. The next prime is 289193. The reversal of 289191 is 191982.

It is an interprime number because it is at equal distance from previous prime (289189) and next prime (289193).

It is not a de Polignac number, because 289191 - 2¹ = 289189 is a prime.

289191 is a lucky number.

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 289191.

It is not an unprimeable number, because it can be changed into a prime (289193) 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, 841 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2²⁸⁹¹⁹¹ is an apocalyptic number.

289191 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

289191 is a deficient number, since it is larger than the sum of its proper divisors (162393).

289191 is a wasteful number, since it uses less digits than its factorization.

289191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350.

The product of its digits is 1296, while the sum is 30.

The square root of 289191 is about 537.7648184848. The cubic root of 289191 is about 66.1294520797.

It can be divided in two parts, 28919 and 1, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 289191 in words is "two hundred eighty-nine thousand, one hundred ninety-one".