456553 has 2 divisors, whose sum is σ = 456554. Its totient is φ = 456552.

The previous prime is 456539. The next prime is 456557. The reversal of 456553 is 355654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 444889 + 11664 = 667^2 + 108^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456553 is a prime.

It is not a weakly prime, because it can be changed into another prime (456557) 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, 228276 + 228277.

It is an arithmetic number, because the mean of its divisors is an integer number (228277).

2⁴⁵⁶⁵⁵³ is an apocalyptic number.

It is an amenable number.

456553 is a deficient number, since it is larger than the sum of its proper divisors (1).

456553 is an equidigital number, since it uses as much as digits as its factorization.

456553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9000, while the sum is 28.

The square root of 456553 is about 675.6870577420. The cubic root of 456553 is about 77.0011244003.

The spelling of 456553 in words is "four hundred fifty-six thousand, five hundred fifty-three".