121167 has 6 divisors (see below), whose sum is σ = 175032. Its totient is φ = 80772.

The previous prime is 121157. The next prime is 121169. The reversal of 121167 is 761121.

It is not a de Polignac number, because 121167 - 2⁴ = 121151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121169) 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 in 5 ways as a sum of consecutive naturals, for example, 6723 + ... + 6740.

It is an arithmetic number, because the mean of its divisors is an integer number (29172).

2¹²¹¹⁶⁷ is an apocalyptic number.

121167 is a deficient number, since it is larger than the sum of its proper divisors (53865).

121167 is a wasteful number, since it uses less digits than its factorization.

121167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13466 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 121167 is about 348.0905054724. The cubic root of 121167 is about 49.4836186994.

Adding to 121167 its reverse (761121), we get a palindrome (882288).

The spelling of 121167 in words is "one hundred twenty-one thousand, one hundred sixty-seven".