114753 has 8 divisors (see below), whose sum is σ = 158400. Its totient is φ = 73808.

The previous prime is 114749. The next prime is 114757. The reversal of 114753 is 357411.

It is an interprime number because it is at equal distance from previous prime (114749) and next prime (114757).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114753 - 2² = 114749 is a prime.

It is a Curzon number.

114753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (114757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2¹¹⁴⁷⁵³ is an apocalyptic number.

It is an amenable number.

114753 is a deficient number, since it is larger than the sum of its proper divisors (43647).

114753 is a wasteful number, since it uses less digits than its factorization.

114753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351.

The product of its digits is 420, while the sum is 21.

The square root of 114753 is about 338.7521217646. The cubic root of 114753 is about 48.5946004941.

The spelling of 114753 in words is "one hundred fourteen thousand, seven hundred fifty-three".