57673 has 12 divisors (see below), whose sum is σ = 73872. Its totient is φ = 44520.

The previous prime is 57667. The next prime is 57679. The reversal of 57673 is 37675.

It is an interprime number because it is at equal distance from previous prime (57667) and next prime (57679).

It is not a de Polignac number, because 57673 - 2⁵ = 57641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2⁵⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

57673 is a deficient number, since it is larger than the sum of its proper divisors (16199).

57673 is a wasteful number, since it uses less digits than its factorization.

57673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 4410, while the sum is 28.

The square root of 57673 is about 240.1520351777. The cubic root of 57673 is about 38.6358834794.

The spelling of 57673 in words is "fifty-seven thousand, six hundred seventy-three".