461309 has 2 divisors, whose sum is σ = 461310. Its totient is φ = 461308.

The previous prime is 461299. The next prime is 461317. The reversal of 461309 is 903164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 422500 + 38809 = 650^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 461309 - 2⁸ = 461053 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230654 + 230655.

It is an arithmetic number, because the mean of its divisors is an integer number (230655).

2⁴⁶¹³⁰⁹ is an apocalyptic number.

It is an amenable number.

461309 is a deficient number, since it is larger than the sum of its proper divisors (1).

461309 is an equidigital number, since it uses as much as digits as its factorization.

461309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 461309 is about 679.1973203716. The cubic root of 461309 is about 77.2675797766.

The spelling of 461309 in words is "four hundred sixty-one thousand, three hundred nine".