456581 has 2 divisors, whose sum is σ = 456582. Its totient is φ = 456580.

The previous prime is 456571. The next prime is 456587. The reversal of 456581 is 185654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429025 + 27556 = 655^2 + 166^2 .

It is a cyclic number.

It is not a de Polignac number, because 456581 - 2⁶ = 456517 is a prime.

It is a super-2 number, since 2×456581² = 416932419122, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228290 + 228291.

It is an arithmetic number, because the mean of its divisors is an integer number (228291).

2⁴⁵⁶⁵⁸¹ is an apocalyptic number.

It is an amenable number.

456581 is a deficient number, since it is larger than the sum of its proper divisors (1).

456581 is an equidigital number, since it uses as much as digits as its factorization.

456581 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4800, while the sum is 29.

The square root of 456581 is about 675.7077770753. The cubic root of 456581 is about 77.0026985055.

The spelling of 456581 in words is "four hundred fifty-six thousand, five hundred eighty-one".