822401 has 8 divisors (see below), whose sum is σ = 855360. Its totient is φ = 790192.

The previous prime is 822391. The next prime is 822407. The reversal of 822401 is 104228.

822401 = T₁₄₉ + T₁₅₀ + ... + T₂₀₁.

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 822401 - 2¹⁰ = 821377 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 822401.

It is not an unprimeable number, because it can be changed into a prime (822407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2996 + ... + 3258.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

2⁸²²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

822401 is a deficient number, since it is larger than the sum of its proper divisors (32959).

822401 is a wasteful number, since it uses less digits than its factorization.

822401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 822401 is about 906.8632752516. The cubic root of 822401 is about 93.6902813748.

Adding to 822401 its reverse (104228), we get a palindrome (926629).

The spelling of 822401 in words is "eight hundred twenty-two thousand, four hundred one".