289657 has 2 divisors, whose sum is σ = 289658. Its totient is φ = 289656.

The previous prime is 289643. The next prime is 289669. The reversal of 289657 is 756982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219961 + 69696 = 469^2 + 264^2 .

It is a cyclic number.

It is not a de Polignac number, because 289657 - 2¹⁵ = 256889 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹⁸ + 8⁴ + 6⁵ + 9 + 5⁶ + 7 .

It is a plaindrome in base 14.

It is a zygodrome in base 14.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144828 + 144829.

It is an arithmetic number, because the mean of its divisors is an integer number (144829).

2²⁸⁹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

289657 is a deficient number, since it is larger than the sum of its proper divisors (1).

289657 is an equidigital number, since it uses as much as digits as its factorization.

289657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 289657 is about 538.1979189852. The cubic root of 289657 is about 66.1649531697.

It can be divided in two parts, 289 and 657, that added together give a triangular number (946 = T₄₃).

The spelling of 289657 in words is "two hundred eighty-nine thousand, six hundred fifty-seven".