114767 has 8 divisors (see below), whose sum is σ = 125136. Its totient is φ = 104832.

The previous prime is 114761. The next prime is 114769. The reversal of 114767 is 767411.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114767.

It is not an unprimeable number, because it can be changed into a prime (114761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (15642).

2¹¹⁴⁷⁶⁷ is an apocalyptic number.

114767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

114767 is a deficient number, since it is larger than the sum of its proper divisors (10369).

114767 is a wasteful number, since it uses less digits than its factorization.

114767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217.

The product of its digits is 1176, while the sum is 26.

The square root of 114767 is about 338.7727852116. The cubic root of 114767 is about 48.5965766131.

The spelling of 114767 in words is "one hundred fourteen thousand, seven hundred sixty-seven".