117121 has 4 divisors (see below), whose sum is σ = 117972. Its totient is φ = 116272.

The previous prime is 117119. The next prime is 117127. The reversal of 117121 is 121711.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 4225 = 336^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 117121 - 2¹ = 117119 is a prime.

It is a Duffinian number.

117121 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (117127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (29493).

2¹¹⁷¹²¹ is an apocalyptic number.

It is an amenable number.

117121 is a deficient number, since it is larger than the sum of its proper divisors (851).

117121 is an equidigital number, since it uses as much as digits as its factorization.

117121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its digits is 14, while the sum is 13.

The square root of 117121 is about 342.2294551905. The cubic root of 117121 is about 48.9265872761.

Adding to 117121 its reverse (121711), we get a palindrome (238832).

The spelling of 117121 in words is "one hundred seventeen thousand, one hundred twenty-one", and thus it is an iban number.