121753 has 4 divisors (see below), whose sum is σ = 122980. Its totient is φ = 120528.

The previous prime is 121727. The next prime is 121763. The reversal of 121753 is 357121.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 357121 = 23 ⋅15527.

It can be written as a sum of positive squares in 2 ways, for example, as 38809 + 82944 = 197^2 + 288^2 .

It is a cyclic number.

It is not a de Polignac number, because 121753 - 2⁵ = 121721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121753.

It is not an unprimeable number, because it can be changed into a prime (121763) 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 3 ways as a sum of consecutive naturals, for example, 450 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (30745).

2¹²¹⁷⁵³ is an apocalyptic number.

It is an amenable number.

121753 is a deficient number, since it is larger than the sum of its proper divisors (1227).

121753 is a wasteful number, since it uses less digits than its factorization.

121753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226.

The product of its digits is 210, while the sum is 19.

The square root of 121753 is about 348.9312253152. The cubic root of 121753 is about 49.5632629894.

Adding to 121753 its reverse (357121), we get a palindrome (478874).

The spelling of 121753 in words is "one hundred twenty-one thousand, seven hundred fifty-three".