826329 has 24 divisors (see below), whose sum is σ = 1341120. Its totient is φ = 443232.

The previous prime is 826313. The next prime is 826333. The reversal of 826329 is 923628.

It is not a de Polignac number, because 826329 - 2⁴ = 826313 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 826296 and 826305.

It is not an unprimeable number, because it can be changed into a prime (826339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7527 + ... + 7635.

It is an arithmetic number, because the mean of its divisors is an integer number (55880).

2⁸²⁶³²⁹ is an apocalyptic number.

It is an amenable number.

826329 is a deficient number, since it is larger than the sum of its proper divisors (514791).

826329 is a wasteful number, since it uses less digits than its factorization.

826329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 826329 is about 909.0264022568. The cubic root of 826329 is about 93.8392075324.

The spelling of 826329 in words is "eight hundred twenty-six thousand, three hundred twenty-nine".