6826401 has 12 divisors (see below), whose sum is σ = 10440612. Its totient is φ = 4283136.

The previous prime is 6826399. The next prime is 6826403. The reversal of 6826401 is 1046286.

It is an interprime number because it is at equal distance from previous prime (6826399) and next prime (6826403).

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 4004001 = 1680^2 + 2001^2 .

It is not a de Polignac number, because 6826401 - 2¹ = 6826399 is a prime.

It is a super-2 number, since 2×6826401² = 93199501225602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6826403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22156 + ... + 22461.

It is an arithmetic number, because the mean of its divisors is an integer number (870051).

Almost surely, 2^6826401 is an apocalyptic number.

It is an amenable number.

6826401 is a deficient number, since it is larger than the sum of its proper divisors (3614211).

6826401 is a wasteful number, since it uses less digits than its factorization.

6826401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44640 (or 44637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6826401 is about 2612.7382188042. The cubic root of 6826401 is about 189.6985154055.

It can be divided in two parts, 6826 and 401, that added together give a palindrome (7227).

The spelling of 6826401 in words is "six million, eight hundred twenty-six thousand, four hundred one".