10122827 has 16 divisors (see below), whose sum is σ = 12307680. Its totient is φ = 8198400.

The previous prime is 10122821. The next prime is 10122851. The reversal of 10122827 is 72822101.

10122827 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10122827 - 2⁴ = 10122811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122821) 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 15 ways as a sum of consecutive naturals, for example, 2927 + ... + 5367.

It is an arithmetic number, because the mean of its divisors is an integer number (769230).

Almost surely, 2^10122827 is an apocalyptic number.

10122827 is a deficient number, since it is larger than the sum of its proper divisors (2184853).

10122827 is a wasteful number, since it uses less digits than its factorization.

10122827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10122827 is about 3181.6390430091. The cubic root of 10122827 is about 216.3219578545.

Adding to 10122827 its reverse (72822101), we get a palindrome (82944928).

The spelling of 10122827 in words is "ten million, one hundred twenty-two thousand, eight hundred twenty-seven".