289937 has 2 divisors, whose sum is σ = 289938. Its totient is φ = 289936.

The previous prime is 289897. The next prime is 289951. The reversal of 289937 is 739982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271441 + 18496 = 521^2 + 136^2 .

It is a cyclic number.

It is not a de Polignac number, because 289937 - 2¹⁰ = 288913 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 289937.

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 289937.

It is not a weakly prime, because it can be changed into another prime (289957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144968 + 144969.

It is an arithmetic number, because the mean of its divisors is an integer number (144969).

2²⁸⁹⁹³⁷ is an apocalyptic number.

It is an amenable number.

289937 is a deficient number, since it is larger than the sum of its proper divisors (1).

289937 is an equidigital number, since it uses as much as digits as its factorization.

289937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 38.

The square root of 289937 is about 538.4579835047. The cubic root of 289937 is about 66.1862659874.

The spelling of 289937 in words is "two hundred eighty-nine thousand, nine hundred thirty-seven".