827963901 has 6 divisors (see below), whose sum is σ = 1195947870. Its totient is φ = 551975928.

The previous prime is 827963897. The next prime is 827963909. The reversal of 827963901 is 109369728.

827963901 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 639 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 827712900 + 251001 = 28770^2 + 501^2 .

It is not a de Polignac number, because 827963901 - 2² = 827963897 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827963909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45997986 + ... + 45998003.

It is an arithmetic number, because the mean of its divisors is an integer number (199324645).

Almost surely, 2^827963901 is an apocalyptic number.

It is an amenable number.

827963901 is a deficient number, since it is larger than the sum of its proper divisors (367983969).

827963901 is a wasteful number, since it uses less digits than its factorization.

827963901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91995995 (or 91995992 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 827963901 is about 28774.3618695532. The cubic root of 827963901 is about 939.0105406310.

The spelling of 827963901 in words is "eight hundred twenty-seven million, nine hundred sixty-three thousand, nine hundred one".