114733 has 6 divisors (see below), whose sum is σ = 122186. Its totient is φ = 107712.

The previous prime is 114713. The next prime is 114743. The reversal of 114733 is 337411.

It can be written as a sum of positive squares in 3 ways, for example, as 56169 + 58564 = 237^2 + 242^2 .

It is not a de Polignac number, because 114733 - 2⁹ = 114221 is a prime.

It is a super-2 number, since 2×114733² = 26327322578, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 114733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91 + ... + 487.

2¹¹⁴⁷³³ is an apocalyptic number.

It is an amenable number.

114733 is a deficient number, since it is larger than the sum of its proper divisors (7453).

114733 is an equidigital number, since it uses as much as digits as its factorization.

114733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 414 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 114733 is about 338.7226003679. The cubic root of 114733 is about 48.5917771882.

Subtracting from 114733 its product of digits (252), we obtain a triangular number (114481 = T₄₇₈).

It can be divided in two parts, 11473 and 3, that added together give a triangular number (11476 = T₁₅₁).

The spelling of 114733 in words is "one hundred fourteen thousand, seven hundred thirty-three".