456107 has 2 divisors, whose sum is σ = 456108. Its totient is φ = 456106.

The previous prime is 456091. The next prime is 456109. The reversal of 456107 is 701654.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 456107 - 2⁴ = 456091 is a prime.

Together with 456109, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (456109) 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, 228053 + 228054.

It is an arithmetic number, because the mean of its divisors is an integer number (228054).

2⁴⁵⁶¹⁰⁷ is an apocalyptic number.

456107 is a deficient number, since it is larger than the sum of its proper divisors (1).

456107 is an equidigital number, since it uses as much as digits as its factorization.

456107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 456107 is about 675.3569426607. The cubic root of 456107 is about 76.9760424708.

The spelling of 456107 in words is "four hundred fifty-six thousand, one hundred seven".