8214801 has 48 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 4327680.

The previous prime is 8214799. The next prime is 8214827. The reversal of 8214801 is 1084128.

It is not a de Polignac number, because 8214801 - 2¹ = 8214799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8214301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174760 + ... + 174806.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^8214801 is an apocalyptic number.

It is an amenable number.

8214801 is a deficient number, since it is larger than the sum of its proper divisors (5574639).

8214801 is a wasteful number, since it uses less digits than its factorization.

8214801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8214801 is about 2866.1474142130. The cubic root of 8214801 is about 201.7742224648.

Adding to 8214801 its reverse (1084128), we get a palindrome (9298929).

The spelling of 8214801 in words is "eight million, two hundred fourteen thousand, eight hundred one".