827505921 has 16 divisors (see below), whose sum is σ = 1205683200. Its totient is φ = 500669520.

The previous prime is 827505871. The next prime is 827505949. The reversal of 827505921 is 129505728.

It is not a de Polignac number, because 827505921 - 2¹⁰ = 827504897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827505921.

It is not an unprimeable number, because it can be changed into a prime (827505421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1165 + ... + 40698.

It is an arithmetic number, because the mean of its divisors is an integer number (75355200).

Almost surely, 2^827505921 is an apocalyptic number.

It is an amenable number.

827505921 is a deficient number, since it is larger than the sum of its proper divisors (378177279).

827505921 is a wasteful number, since it uses less digits than its factorization.

827505921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42476.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 827505921 is about 28766.4026426663. The cubic root of 827505921 is about 938.8373739170.

The spelling of 827505921 in words is "eight hundred twenty-seven million, five hundred five thousand, nine hundred twenty-one".