828602973 has 32 divisors (see below), whose sum is σ = 1342080000. Its totient is φ = 501087600.

The previous prime is 828602959. The next prime is 828602981. The reversal of 828602973 is 379206828.

It is not a de Polignac number, because 828602973 - 2¹⁸ = 828340829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828602473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145408 + ... + 150998.

It is an arithmetic number, because the mean of its divisors is an integer number (41940000).

Almost surely, 2^828602973 is an apocalyptic number.

It is an amenable number.

828602973 is a deficient number, since it is larger than the sum of its proper divisors (513477027).

828602973 is a wasteful number, since it uses less digits than its factorization.

828602973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 828602973 is about 28785.4646132384. The cubic root of 828602973 is about 939.2520733086.

The spelling of 828602973 in words is "eight hundred twenty-eight million, six hundred two thousand, nine hundred seventy-three".