10827117 has 24 divisors (see below), whose sum is σ = 18083520. Its totient is φ = 6114240.

The previous prime is 10827097. The next prime is 10827119. The reversal of 10827117 is 71172801.

It is not a de Polignac number, because 10827117 - 2⁷ = 10826989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10827119) 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 23 ways as a sum of consecutive naturals, for example, 4642 + ... + 6572.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 2^10827117 is an apocalyptic number.

It is an amenable number.

10827117 is a deficient number, since it is larger than the sum of its proper divisors (7256403).

10827117 is a wasteful number, since it uses less digits than its factorization.

10827117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 10827117 is about 3290.4584786926. The cubic root of 10827117 is about 221.2267350813.

Adding to 10827117 its reverse (71172801), we get a palindrome (81999918).

It can be divided in two parts, 108 and 27117, that added together give a square (27225 = 165²).

The spelling of 10827117 in words is "ten million, eight hundred twenty-seven thousand, one hundred seventeen".