16167 has 8 divisors (see below), whose sum is σ = 22896. Its totient is φ = 10112.

The previous prime is 16141. The next prime is 16183. The reversal of 16167 is 76161.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16167 - 2⁶ = 16103 is a prime.

It is a super-2 number, since 2×16167² = 522743778, which contains 22 as substring.

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

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (2862).

2¹⁶¹⁶⁷ is an apocalyptic number.

16167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

16167 is a deficient number, since it is larger than the sum of its proper divisors (6729).

16167 is a wasteful number, since it uses less digits than its factorization.

16167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its digits is 252, while the sum is 21.

The square root of 16167 is about 127.1495182846. The cubic root of 16167 is about 25.2857872439.

The spelling of 16167 in words is "sixteen thousand, one hundred sixty-seven".