114413 has 6 divisors (see below), whose sum is σ = 124074. Its totient is φ = 105456.

The previous prime is 114407. The next prime is 114419. The reversal of 114413 is 314411.

It is a happy number.

114413 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (114407) and next prime (114419).

It can be written as a sum of positive squares in 3 ways, for example, as 13924 + 100489 = 118^2 + 317^2 .

It is not a de Polignac number, because 114413 - 2⁸ = 114157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (20679).

2¹¹⁴⁴¹³ is an apocalyptic number.

114413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114413 is a deficient number, since it is larger than the sum of its proper divisors (9661).

114413 is an equidigital number, since it uses as much as digits as its factorization.

114413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 114413 is about 338.2499076127. The cubic root of 114413 is about 48.5465596039.

Adding to 114413 its reverse (314411), we get a palindrome (428824).

The spelling of 114413 in words is "one hundred fourteen thousand, four hundred thirteen".