610409 has 2 divisors, whose sum is σ = 610410. Its totient is φ = 610408.

The previous prime is 610391. The next prime is 610417. The reversal of 610409 is 904016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 490000 + 120409 = 700^2 + 347^2 .

It is a cyclic number.

It is not a de Polignac number, because 610409 - 2¹² = 606313 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (610429) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305204 + 305205.

It is an arithmetic number, because the mean of its divisors is an integer number (305205).

2⁶¹⁰⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

610409 is a deficient number, since it is larger than the sum of its proper divisors (1).

610409 is an equidigital number, since it uses as much as digits as its factorization.

610409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 610409 is about 781.2867591352. The cubic root of 610409 is about 84.8282112882.

The spelling of 610409 in words is "six hundred ten thousand, four hundred nine".