120753 has 6 divisors (see below), whose sum is σ = 174434. Its totient is φ = 80496.

The previous prime is 120749. The next prime is 120763. The reversal of 120753 is 357021.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 23409 = 312^2 + 153^2 .

It is not a de Polignac number, because 120753 - 2² = 120749 is a prime.

It is a super-3 number, since 3×120753³ = 5282202450593331, which contains 333 as substring.

It is a Duffinian number.

120753 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120753.

It is not an unprimeable number, because it can be changed into a prime (120713) 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, 6700 + ... + 6717.

2¹²⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

120753 is a deficient number, since it is larger than the sum of its proper divisors (53681).

120753 is a wasteful number, since it uses less digits than its factorization.

120753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13423 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 120753 is about 347.4953237095. The cubic root of 120753 is about 49.4271963106.

Adding to 120753 its reverse (357021), we get a palindrome (477774).

The spelling of 120753 in words is "one hundred twenty thousand, seven hundred fifty-three".