456007661 has 2 divisors, whose sum is σ = 456007662. Its totient is φ = 456007660.

The previous prime is 456007639. The next prime is 456007663. The reversal of 456007661 is 166700654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230857636 + 225150025 = 15194^2 + 15005^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456007661 is a prime.

Together with 456007663, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456007663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228003830 + 228003831.

It is an arithmetic number, because the mean of its divisors is an integer number (228003831).

Almost surely, 2^456007661 is an apocalyptic number.

It is an amenable number.

456007661 is a deficient number, since it is larger than the sum of its proper divisors (1).

456007661 is an equidigital number, since it uses as much as digits as its factorization.

456007661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 456007661 is about 21354.3358829068. The cubic root of 456007661 is about 769.7045366650.

The spelling of 456007661 in words is "four hundred fifty-six million, seven thousand, six hundred sixty-one".