121759 has 4 divisors (see below), whose sum is σ = 132840. Its totient is φ = 110680.

The previous prime is 121727. The next prime is 121763. The reversal of 121759 is 957121.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 957121 = 11 ⋅87011.

It is a cyclic number.

It is not a de Polignac number, because 121759 - 2⁵ = 121727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5524 + ... + 5545.

It is an arithmetic number, because the mean of its divisors is an integer number (33210).

2¹²¹⁷⁵⁹ is an apocalyptic number.

121759 is a deficient number, since it is larger than the sum of its proper divisors (11081).

121759 is a wasteful number, since it uses less digits than its factorization.

121759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11080.

The product of its digits is 630, while the sum is 25.

The square root of 121759 is about 348.9398228921. The cubic root of 121759 is about 49.5640771369.

It can be divided in two parts, 12 and 1759, that added together give a palindrome (1771).

The spelling of 121759 in words is "one hundred twenty-one thousand, seven hundred fifty-nine".