8214401 has 8 divisors (see below), whose sum is σ = 8979264. Its totient is φ = 7468560.

The previous prime is 8214389. The next prime is 8214439. The reversal of 8214401 is 1044128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8214401 - 2¹⁴ = 8198017 is a prime.

It is a super-3 number, since 3×8214401³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8214461) 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 7 ways as a sum of consecutive naturals, for example, 3845 + ... + 5586.

It is an arithmetic number, because the mean of its divisors is an integer number (1122408).

Almost surely, 2^8214401 is an apocalyptic number.

It is an amenable number.

8214401 is a deficient number, since it is larger than the sum of its proper divisors (764863).

8214401 is a wasteful number, since it uses less digits than its factorization.

8214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8214401 is about 2866.0776332821. The cubic root of 8214401 is about 201.7709474413.

Adding to 8214401 its reverse (1044128), we get a palindrome (9258529).

The spelling of 8214401 in words is "eight million, two hundred fourteen thousand, four hundred one".