56167 has 2 divisors, whose sum is σ = 56168. Its totient is φ = 56166.

The previous prime is 56149. The next prime is 56171. The reversal of 56167 is 76165.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 56167 - 2⁷ = 56039 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28083 + 28084.

It is an arithmetic number, because the mean of its divisors is an integer number (28084).

2⁵⁶¹⁶⁷ is an apocalyptic number.

56167 is a deficient number, since it is larger than the sum of its proper divisors (1).

56167 is an equidigital number, since it uses as much as digits as its factorization.

56167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 25.

The square root of 56167 is about 236.9957805532. The cubic root of 56167 is about 38.2966168072.

The spelling of 56167 in words is "fifty-six thousand, one hundred sixty-seven".