289952 has 48 divisors (see below), whose sum is σ = 666792. Its totient is φ = 122880.

The previous prime is 289951. The next prime is 289957. The reversal of 289952 is 259982.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 126736 = 404^2 + 356^2 .

Its product of digits (12960) is a multiple of the sum of its prime factors (81).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289952.

It is not an unprimeable number, because it can be changed into a prime (289951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7052 + ... + 7092.

2²⁸⁹⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333396).

289952 is an abundant number, since it is smaller than the sum of its proper divisors (376840).

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

289952 is a wasteful number, since it uses less digits than its factorization.

289952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 289952 is about 538.4719119880. The cubic root of 289952 is about 66.1874073582.

The spelling of 289952 in words is "two hundred eighty-nine thousand, nine hundred fifty-two".