826321 has 8 divisors (see below), whose sum is σ = 886464. Its totient is φ = 768240.

The previous prime is 826313. The next prime is 826333. The reversal of 826321 is 123628.

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 826321 - 2³ = 826313 is a prime.

It is a Duffinian number.

826321 is a lucky number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 826292 and 826301.

It is not an unprimeable number, because it can be changed into a prime (826351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366 + ... + 1336.

It is an arithmetic number, because the mean of its divisors is an integer number (110808).

2⁸²⁶³²¹ is an apocalyptic number.

It is an amenable number.

826321 is a deficient number, since it is larger than the sum of its proper divisors (60143).

826321 is a wasteful number, since it uses less digits than its factorization.

826321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031.

The product of its digits is 576, while the sum is 22.

The square root of 826321 is about 909.0220019339. The cubic root of 826321 is about 93.8389047006.

Adding to 826321 its reverse (123628), we get a palindrome (949949).

The spelling of 826321 in words is "eight hundred twenty-six thousand, three hundred twenty-one".