828874753 has 16 divisors (see below), whose sum is σ = 1000155520. Its totient is φ = 671037696.

The previous prime is 828874733. The next prime is 828874789. The reversal of 828874753 is 357478828.

It is not a de Polignac number, because 828874753 - 2¹⁷ = 828743681 is a prime.

It is a super-2 number, since 2×828874753² = 1374066712321622018, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 828874753.

It is not an unprimeable number, because it can be changed into a prime (828874733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35575 + ... + 54067.

It is an arithmetic number, because the mean of its divisors is an integer number (62509720).

Almost surely, 2^828874753 is an apocalyptic number.

It is an amenable number.

828874753 is a deficient number, since it is larger than the sum of its proper divisors (171280767).

828874753 is a wasteful number, since it uses less digits than its factorization.

828874753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18856.

The product of its digits is 3010560, while the sum is 52.

The square root of 828874753 is about 28790.1850115625. The cubic root of 828874753 is about 939.3547529724.

The spelling of 828874753 in words is "eight hundred twenty-eight million, eight hundred seventy-four thousand, seven hundred fifty-three".