456611 has 2 divisors, whose sum is σ = 456612. Its totient is φ = 456610.

The previous prime is 456607. The next prime is 456613. The reversal of 456611 is 116654.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 456611 - 2² = 456607 is a prime.

Together with 456613, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456611.

It is not a weakly prime, because it can be changed into another prime (456613) 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, 228305 + 228306.

It is an arithmetic number, because the mean of its divisors is an integer number (228306).

2⁴⁵⁶⁶¹¹ is an apocalyptic number.

456611 is a deficient number, since it is larger than the sum of its proper divisors (1).

456611 is an equidigital number, since it uses as much as digits as its factorization.

456611 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 23.

The square root of 456611 is about 675.7299756560. The cubic root of 456611 is about 77.0043849754.

The spelling of 456611 in words is "four hundred fifty-six thousand, six hundred eleven".