167121 has 12 divisors (see below), whose sum is σ = 249600. Its totient is φ = 107640.

The previous prime is 167119. The next prime is 167149. The reversal of 167121 is 121761.

It is not a de Polignac number, because 167121 - 2¹ = 167119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 167094 and 167103.

It is not an unprimeable number, because it can be changed into a prime (167191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (20800).

2¹⁶⁷¹²¹ is an apocalyptic number.

It is an amenable number.

167121 is a deficient number, since it is larger than the sum of its proper divisors (82479).

167121 is a wasteful number, since it uses less digits than its factorization.

167121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

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

The square root of 167121 is about 408.8043541842. The cubic root of 167121 is about 55.0820812987.

Adding to 167121 its reverse (121761), we get a palindrome (288882).

The spelling of 167121 in words is "one hundred sixty-seven thousand, one hundred twenty-one".