456607 has 2 divisors, whose sum is σ = 456608. Its totient is φ = 456606.

The previous prime is 456587. The next prime is 456611. The reversal of 456607 is 706654.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456607 is a prime.

It is a Chen prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228303 + 228304.

It is an arithmetic number, because the mean of its divisors is an integer number (228304).

2⁴⁵⁶⁶⁰⁷ is an apocalyptic number.

456607 is a deficient number, since it is larger than the sum of its proper divisors (1).

456607 is an equidigital number, since it uses as much as digits as its factorization.

456607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 456607 is about 675.7270158873. The cubic root of 456607 is about 77.0041601171.

Subtracting 456607 from its reverse (706654), we obtain a cube (250047 = 63³).

The spelling of 456607 in words is "four hundred fifty-six thousand, six hundred seven".