826814401 has 8 divisors (see below), whose sum is σ = 945127040. Its totient is φ = 708550848.

The previous prime is 826814399. The next prime is 826814407. The reversal of 826814401 is 104418628.

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 826814401 - 2¹ = 826814399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826814407) 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, 37060 + ... + 55018.

It is an arithmetic number, because the mean of its divisors is an integer number (118140880).

Almost surely, 2^826814401 is an apocalyptic number.

It is an amenable number.

826814401 is a deficient number, since it is larger than the sum of its proper divisors (118312639).

826814401 is a wasteful number, since it uses less digits than its factorization.

826814401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24543.

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 826814401 is about 28754.3805532305. The cubic root of 826814401 is about 938.5757823345.

The spelling of 826814401 in words is "eight hundred twenty-six million, eight hundred fourteen thousand, four hundred one".