289146 has 32 divisors (see below), whose sum is σ = 681408. Its totient is φ = 80640.

The previous prime is 289141. The next prime is 289151. The reversal of 289146 is 641982.

289146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (289141) and next prime (289151).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289146.

It is not an unprimeable number, because it can be changed into a prime (289141) by changing a digit.

289146 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2²⁸⁹¹⁴⁶ is an apocalyptic number.

289146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 289146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340704).

289146 is an abundant number, since it is smaller than the sum of its proper divisors (392262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289146 is a wasteful number, since it uses less digits than its factorization.

289146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its digits is 3456, while the sum is 30.

The square root of 289146 is about 537.7229770058. The cubic root of 289146 is about 66.1260218442.

Subtracting 289146 from its reverse (641982), we obtain a square (352836 = 594²).

It can be divided in two parts, 28914 and 6, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 289146 in words is "two hundred eighty-nine thousand, one hundred forty-six".