57667 has 2 divisors, whose sum is σ = 57668. Its totient is φ = 57666.

The previous prime is 57653. The next prime is 57679. The reversal of 57667 is 76675.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 57667 - 2¹¹ = 55619 is a prime.

57667 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (57637) 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 as a sum of consecutive naturals, namely, 28833 + 28834.

It is an arithmetic number, because the mean of its divisors is an integer number (28834).

2⁵⁷⁶⁶⁷ is an apocalyptic number.

57667 is a deficient number, since it is larger than the sum of its proper divisors (1).

57667 is an equidigital number, since it uses as much as digits as its factorization.

57667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 31.

The square root of 57667 is about 240.1395427663. The cubic root of 57667 is about 38.6345436073.

The spelling of 57667 in words is "fifty-seven thousand, six hundred sixty-seven".