289637 has 2 divisors, whose sum is σ = 289638. Its totient is φ = 289636.

The previous prime is 289607. The next prime is 289643. The reversal of 289637 is 736982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206116 + 83521 = 454^2 + 289^2 .

It is a cyclic number.

It is not a de Polignac number, because 289637 - 2⁶ = 289573 is a prime.

It is a d-powerful number, because it can be written as 2 + 8 + 6⁷ + 9³ + 3⁸ + 7⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 289597 and 289606.

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 289637.

It is not a weakly prime, because it can be changed into another prime (289607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144818 + 144819.

It is an arithmetic number, because the mean of its divisors is an integer number (144819).

2²⁸⁹⁶³⁷ is an apocalyptic number.

It is an amenable number.

289637 is a deficient number, since it is larger than the sum of its proper divisors (1).

289637 is an equidigital number, since it uses as much as digits as its factorization.

289637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 35.

The square root of 289637 is about 538.1793381392. The cubic root of 289637 is about 66.1634303001.

The spelling of 289637 in words is "two hundred eighty-nine thousand, six hundred thirty-seven".