114224513 has 32 divisors (see below), whose sum is σ = 136553760. Its totient is φ = 94556160.

The previous prime is 114224497. The next prime is 114224557. The reversal of 114224513 is 315422411.

It can be written as a sum of positive squares in 16 ways, for example, as 7246864 + 106977649 = 2692^2 + 10343^2 .

It is a cyclic number.

It is not a de Polignac number, because 114224513 - 2⁴ = 114224497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114224563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498683 + ... + 498911.

It is an arithmetic number, because the mean of its divisors is an integer number (4267305).

Almost surely, 2^114224513 is an apocalyptic number.

114224513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114224513 is a deficient number, since it is larger than the sum of its proper divisors (22329247).

114224513 is a wasteful number, since it uses less digits than its factorization.

114224513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357.

The product of its digits is 960, while the sum is 23.

The square root of 114224513 is about 10687.5868651441. The cubic root of 114224513 is about 485.1988598913.

Adding to 114224513 its reverse (315422411), we get a palindrome (429646924).

The spelling of 114224513 in words is "one hundred fourteen million, two hundred twenty-four thousand, five hundred thirteen".