412589 has 2 divisors, whose sum is σ = 412590. Its totient is φ = 412588.

The previous prime is 412571. The next prime is 412591. The reversal of 412589 is 985214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 354025 + 58564 = 595^2 + 242^2 .

It is a cyclic number.

It is not a de Polignac number, because 412589 - 2⁸ = 412333 is a prime.

Together with 412591, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412189) 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, 206294 + 206295.

It is an arithmetic number, because the mean of its divisors is an integer number (206295).

2⁴¹²⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

412589 is a deficient number, since it is larger than the sum of its proper divisors (1).

412589 is an equidigital number, since it uses as much as digits as its factorization.

412589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 29.

The square root of 412589 is about 642.3309116024. The cubic root of 412589 is about 74.4456309473.

It can be divided in two parts, 412 and 589, that added together give a palindrome (1001).

The spelling of 412589 in words is "four hundred twelve thousand, five hundred eighty-nine".