123753 has 16 divisors (see below), whose sum is σ = 193536. Its totient is φ = 68880.

The previous prime is 123737. The next prime is 123757. The reversal of 123753 is 357321.

It is a happy number.

123753 is a nontrivial binomial coefficient, being equal to C(498, 2).

It is not a de Polignac number, because 123753 - 2⁴ = 123737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 1 + 2⁷ + 7⁴ + 3¹⁰ + 5⁵ + 3¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (123757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2¹²³⁷⁵³ is an apocalyptic number.

123753 is the 497-th triangular number and also the 249-th hexagonal number.

It is an amenable number.

123753 is a deficient number, since it is larger than the sum of its proper divisors (69783).

123753 is an equidigital number, since it uses as much as digits as its factorization.

123753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 630, while the sum is 21.

The square root of 123753 is about 351.7854459752. The cubic root of 123753 is about 49.8331773565.

The spelling of 123753 in words is "one hundred twenty-three thousand, seven hundred fifty-three".