828993 has 8 divisors (see below), whose sum is σ = 1205856. Its totient is φ = 502400.

The previous prime is 828977. The next prime is 829001. The reversal of 828993 is 399828.

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 828993 - 2⁴ = 828977 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (828923) 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, 12528 + ... + 12593.

It is an arithmetic number, because the mean of its divisors is an integer number (150732).

2⁸²⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

828993 is a deficient number, since it is larger than the sum of its proper divisors (376863).

828993 is a wasteful number, since it uses less digits than its factorization.

828993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25135.

The product of its digits is 31104, while the sum is 39.

The square root of 828993 is about 910.4905271336. The cubic root of 828993 is about 93.9399420195.

The spelling of 828993 in words is "eight hundred twenty-eight thousand, nine hundred ninety-three".