828997 has 8 divisors (see below), whose sum is σ = 914144. Its totient is φ = 746928.

The previous prime is 828977. The next prime is 829001. The reversal of 828997 is 799828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 828997 - 2¹⁹ = 304709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828917) 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, 183 + ... + 1300.

It is an arithmetic number, because the mean of its divisors is an integer number (114268).

2⁸²⁸⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

828997 is a deficient number, since it is larger than the sum of its proper divisors (85147).

828997 is a wasteful number, since it uses less digits than its factorization.

828997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539.

The product of its digits is 72576, while the sum is 43.

The square root of 828997 is about 910.4927237491. The cubic root of 828997 is about 93.9400931101.

The spelling of 828997 in words is "eight hundred twenty-eight thousand, nine hundred ninety-seven".