412609 has 2 divisors, whose sum is σ = 412610. Its totient is φ = 412608.

The previous prime is 412603. The next prime is 412619. The reversal of 412609 is 906214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 18225 = 628^2 + 135^2 .

It is a cyclic number.

It is not a de Polignac number, because 412609 - 2⁷ = 412481 is a prime.

It is a Chen prime.

412609 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 412609.

It is not a weakly prime, because it can be changed into another prime (412603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206304 + 206305.

It is an arithmetic number, because the mean of its divisors is an integer number (206305).

2⁴¹²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

412609 is a deficient number, since it is larger than the sum of its proper divisors (1).

412609 is an equidigital number, since it uses as much as digits as its factorization.

412609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 412609 is about 642.3464797132. The cubic root of 412609 is about 74.4468338301.

The spelling of 412609 in words is "four hundred twelve thousand, six hundred nine".