828005 has 4 divisors (see below), whose sum is σ = 993612. Its totient is φ = 662400.

The previous prime is 827989. The next prime is 828007. The reversal of 828005 is 500828.

828005 = T₅₇₃ + T₅₇₄ + ... + T₅₇₇.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 515524 + 312481 = 718^2 + 559^2 .

It is not a de Polignac number, because 828005 - 2⁴ = 827989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82796 + ... + 82805.

It is an arithmetic number, because the mean of its divisors is an integer number (248403).

2⁸²⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

828005 is a deficient number, since it is larger than the sum of its proper divisors (165607).

828005 is a wasteful number, since it uses less digits than its factorization.

828005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165606.

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 828005 is about 909.9478007007. The cubic root of 828005 is about 93.9026077442.

The spelling of 828005 in words is "eight hundred twenty-eight thousand, five".