906589 has 2 divisors, whose sum is σ = 906590. Its totient is φ = 906588.

The previous prime is 906557. The next prime is 906601. The reversal of 906589 is 985609.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 870489 + 36100 = 933^2 + 190^2 .

It is a cyclic number.

It is not a de Polignac number, because 906589 - 2⁵ = 906557 is a prime.

It is a super-2 number, since 2×906589² = 1643807229842, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (906539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453294 + 453295.

It is an arithmetic number, because the mean of its divisors is an integer number (453295).

2⁹⁰⁶⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

906589 is a deficient number, since it is larger than the sum of its proper divisors (1).

906589 is an equidigital number, since it uses as much as digits as its factorization.

906589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 906589 is about 952.1496731082. The cubic root of 906589 is about 96.7839809683.

The spelling of 906589 in words is "nine hundred six thousand, five hundred eighty-nine".