12827113 has 8 divisors (see below), whose sum is σ = 14075208. Its totient is φ = 11616384.

The previous prime is 12827107. The next prime is 12827159. The reversal of 12827113 is 31172821.

12827113 = 2532² + 2533².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4376464 + 8450649 = 2092^2 + 2907^2 .

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

It is not a de Polignac number, because 12827113 - 2⁵ = 12827081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12827513) 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, 8620 + ... + 9997.

It is an arithmetic number, because the mean of its divisors is an integer number (1759401).

Almost surely, 2^12827113 is an apocalyptic number.

12827113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12827113 is the 2533-rd centered square number.

It is an amenable number.

12827113 is a deficient number, since it is larger than the sum of its proper divisors (1248095).

12827113 is a wasteful number, since it uses less digits than its factorization.

12827113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18683.

The product of its digits is 672, while the sum is 25.

The square root of 12827113 is about 3581.4959165131. The cubic root of 12827113 is about 234.0864669371.

Adding to 12827113 its reverse (31172821), we get a palindrome (43999934).

The spelling of 12827113 in words is "twelve million, eight hundred twenty-seven thousand, one hundred thirteen".