461009 has 2 divisors, whose sum is σ = 461010. Its totient is φ = 461008.

The previous prime is 460991. The next prime is 461011. The reversal of 461009 is 900164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 124609 = 580^2 + 353^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-461009 is a prime.

Together with 461011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (461059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230504 + 230505.

It is an arithmetic number, because the mean of its divisors is an integer number (230505).

2⁴⁶¹⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

461009 is a deficient number, since it is larger than the sum of its proper divisors (1).

461009 is an equidigital number, since it uses as much as digits as its factorization.

461009 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 461009 is about 678.9764355263. The cubic root of 461009 is about 77.2508265081.

It can be divided in two parts, 4 and 61009, that multiplied together give a square (244036 = 494²).

The spelling of 461009 in words is "four hundred sixty-one thousand, nine".