10838827 has 2 divisors, whose sum is σ = 10838828. Its totient is φ = 10838826.

The previous prime is 10838813. The next prime is 10838833. The reversal of 10838827 is 72883801.

10838827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (72883801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10838827 - 2⁷ = 10838699 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10838897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5419413 + 5419414.

It is an arithmetic number, because the mean of its divisors is an integer number (5419414).

Almost surely, 2^10838827 is an apocalyptic number.

10838827 is a deficient number, since it is larger than the sum of its proper divisors (1).

10838827 is an equidigital number, since it uses as much as digits as its factorization.

10838827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 10838827 is about 3292.2373851228. The cubic root of 10838827 is about 221.3064618048.

The spelling of 10838827 in words is "ten million, eight hundred thirty-eight thousand, eight hundred twenty-seven".