456657 has 4 divisors (see below), whose sum is σ = 608880. Its totient is φ = 304436.

The previous prime is 456653. The next prime is 456679. The reversal of 456657 is 756654.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 456657 - 2² = 456653 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (456653) 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 in 3 ways as a sum of consecutive naturals, for example, 76107 + ... + 76112.

It is an arithmetic number, because the mean of its divisors is an integer number (152220).

2⁴⁵⁶⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

456657 is a deficient number, since it is larger than the sum of its proper divisors (152223).

456657 is a wasteful number, since it uses less digits than its factorization.

456657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152222.

The product of its digits is 25200, while the sum is 33.

The square root of 456657 is about 675.7640120634. The cubic root of 456657 is about 77.0069707525.

The spelling of 456657 in words is "four hundred fifty-six thousand, six hundred fifty-seven".