461581 has 2 divisors, whose sum is σ = 461582. Its totient is φ = 461580.

The previous prime is 461569. The next prime is 461599. The reversal of 461581 is 185164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259081 + 202500 = 509^2 + 450^2 .

It is a cyclic number.

It is not a de Polignac number, because 461581 - 2¹⁷ = 330509 is a prime.

It is a super-2 number, since 2×461581² = 426114039122, which contains 22 as substring.

461581 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230790 + 230791.

It is an arithmetic number, because the mean of its divisors is an integer number (230791).

2⁴⁶¹⁵⁸¹ is an apocalyptic number.

It is an amenable number.

461581 is a deficient number, since it is larger than the sum of its proper divisors (1).

461581 is an equidigital number, since it uses as much as digits as its factorization.

461581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960, while the sum is 25.

The square root of 461581 is about 679.3975272254. The cubic root of 461581 is about 77.2827631298.

The spelling of 461581 in words is "four hundred sixty-one thousand, five hundred eighty-one".