8400827 has 6 divisors (see below), whose sum is σ = 8585628. Its totient is φ = 8219924.

The previous prime is 8400823. The next prime is 8400829. The reversal of 8400827 is 7280048.

8400827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8400827 - 2² = 8400823 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8400827.

It is not an unprimeable number, because it can be changed into a prime (8400823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 308 + ... + 4110.

It is an arithmetic number, because the mean of its divisors is an integer number (1430938).

Almost surely, 2^8400827 is an apocalyptic number.

8400827 is a deficient number, since it is larger than the sum of its proper divisors (184801).

8400827 is an equidigital number, since it uses as much as digits as its factorization.

8400827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8400827 is about 2898.4180167809. The cubic root of 8400827 is about 203.2859422535.

The spelling of 8400827 in words is "eight million, four hundred thousand, eight hundred twenty-seven".