456013 has 2 divisors, whose sum is σ = 456014. Its totient is φ = 456012.

The previous prime is 456007. The next prime is 456023. The reversal of 456013 is 310654.

456013 = 477² + 478².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228484 + 227529 = 478^2 + 477^2 .

It is a cyclic number.

It is not a de Polignac number, because 456013 - 2¹⁷ = 324941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228006 + 228007.

It is an arithmetic number, because the mean of its divisors is an integer number (228007).

2⁴⁵⁶⁰¹³ is an apocalyptic number.

456013 is the 478-th centered square number.

It is an amenable number.

456013 is a deficient number, since it is larger than the sum of its proper divisors (1).

456013 is an equidigital number, since it uses as much as digits as its factorization.

456013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 456013 is about 675.2873462460. The cubic root of 456013 is about 76.9707540589.

Adding to 456013 its reverse (310654), we get a palindrome (766667).

The spelling of 456013 in words is "four hundred fifty-six thousand, thirteen".