114414313 has 16 divisors (see below), whose sum is σ = 127579536. Its totient is φ = 101928960.

The previous prime is 114414253. The next prime is 114414329. The reversal of 114414313 is 313414411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2647129 + 111767184 = 1627^2 + 10572^2 .

It is a cyclic number.

It is not a de Polignac number, because 114414313 - 2¹⁷ = 114283241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114414343) 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, 50595 + ... + 52807.

It is an arithmetic number, because the mean of its divisors is an integer number (7973721).

Almost surely, 2^114414313 is an apocalyptic number.

114414313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114414313 is a deficient number, since it is larger than the sum of its proper divisors (13165223).

114414313 is a wasteful number, since it uses less digits than its factorization.

114414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364.

The product of its digits is 576, while the sum is 22.

The square root of 114414313 is about 10696.4626395832. The cubic root of 114414313 is about 485.4674530943.

Adding to 114414313 its reverse (313414411), we get a palindrome (427828724).

The spelling of 114414313 in words is "one hundred fourteen million, four hundred fourteen thousand, three hundred thirteen".