10167 has 4 divisors (see below), whose sum is σ = 13560. Its totient is φ = 6776.

The previous prime is 10163. The next prime is 10169. The reversal of 10167 is 76101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76101 = 3 ⋅25367.

It is a cyclic number.

It is not a de Polignac number, because 10167 - 2² = 10163 is a prime.

It is a D-number.

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

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1692 + ... + 1697.

It is an arithmetic number, because the mean of its divisors is an integer number (3390).

2¹⁰¹⁶⁷ is an apocalyptic number.

10167 is a deficient number, since it is larger than the sum of its proper divisors (3393).

10167 is an equidigital number, since it uses as much as digits as its factorization.

10167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10167 is about 100.8315426838. The cubic root of 10167 is about 21.6636156125.

Adding to 10167 its reverse (76101), we get a palindrome (86268).

The spelling of 10167 in words is "ten thousand, one hundred sixty-seven".