102167 has 8 divisors (see below), whose sum is σ = 114240. Its totient is φ = 90720.

The previous prime is 102161. The next prime is 102181. The reversal of 102167 is 761201.

It is a happy number.

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 102167 - 2⁶ = 102103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102167.

It is not an unprimeable number, because it can be changed into a prime (102161) 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, 242 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2¹⁰²¹⁶⁷ is an apocalyptic number.

102167 is a deficient number, since it is larger than the sum of its proper divisors (12073).

102167 is a wasteful number, since it uses less digits than its factorization.

102167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 102167 is about 319.6357301680. The cubic root of 102167 is about 46.7487726903.

Adding to 102167 its reverse (761201), we get a palindrome (863368).

The spelling of 102167 in words is "one hundred two thousand, one hundred sixty-seven".