456613 has 2 divisors, whose sum is σ = 456614. Its totient is φ = 456612.

The previous prime is 456611. The next prime is 456623. The reversal of 456613 is 316654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 431649 + 24964 = 657^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 456613 - 2¹ = 456611 is a prime.

Together with 456611, it forms a pair of twin primes.

456613 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228306 + 228307.

It is an arithmetic number, because the mean of its divisors is an integer number (228307).

2⁴⁵⁶⁶¹³ is an apocalyptic number.

It is an amenable number.

456613 is a deficient number, since it is larger than the sum of its proper divisors (1).

456613 is an equidigital number, since it uses as much as digits as its factorization.

456613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 25.

The square root of 456613 is about 675.7314555354. The cubic root of 456613 is about 77.0044974041.

The spelling of 456613 in words is "four hundred fifty-six thousand, six hundred thirteen".