457667 has 4 divisors (see below), whose sum is σ = 523056. Its totient is φ = 392280.

The previous prime is 457661. The next prime is 457669. The reversal of 457667 is 766754.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 457667 - 2⁴ = 457651 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457661) 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, 32684 + ... + 32697.

It is an arithmetic number, because the mean of its divisors is an integer number (130764).

2⁴⁵⁷⁶⁶⁷ is an apocalyptic number.

457667 is a deficient number, since it is larger than the sum of its proper divisors (65389).

457667 is an equidigital number, since it uses as much as digits as its factorization.

457667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65388.

The product of its digits is 35280, while the sum is 35.

The square root of 457667 is about 676.5109016121. The cubic root of 457667 is about 77.0637017128.

The spelling of 457667 in words is "four hundred fifty-seven thousand, six hundred sixty-seven".