826401 has 8 divisors (see below), whose sum is σ = 1125504. Its totient is φ = 539120.

The previous prime is 826393. The next prime is 826403. The reversal of 826401 is 104628.

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 826401 - 2³ = 826393 is a prime.

It is a super-2 number, since 2×826401² = 1365877225602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (826403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2790 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (140688).

2⁸²⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

826401 is a deficient number, since it is larger than the sum of its proper divisors (299103).

826401 is a wasteful number, since it uses less digits than its factorization.

826401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5911.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 826401 is about 909.0660042043. The cubic root of 826401 is about 93.8419329306.

The spelling of 826401 in words is "eight hundred twenty-six thousand, four hundred one".