103167 has 8 divisors (see below), whose sum is σ = 152880. Its totient is φ = 68760.

The previous prime is 103141. The next prime is 103171. The reversal of 103167 is 761301.

It is not a de Polignac number, because 103167 - 2⁸ = 102911 is a prime.

103167 is a lucky 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 103167.

It is not an unprimeable number, because it can be changed into a prime (103177) 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, 1884 + ... + 1937.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2¹⁰³¹⁶⁷ is an apocalyptic number.

103167 is a deficient number, since it is larger than the sum of its proper divisors (49713).

103167 is an equidigital number, since it uses as much as digits as its factorization.

103167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 103167 is about 321.1962017210. The cubic root of 103167 is about 46.9008017951.

Subtracting from 103167 its product of nonzero digits (126), we obtain a square (103041 = 321²).

Adding to 103167 its reverse (761301), we get a palindrome (864468).

The spelling of 103167 in words is "one hundred three thousand, one hundred sixty-seven".