827738901 has 12 divisors (see below), whose sum is σ = 1304316000. Its totient is φ = 501659880.

The previous prime is 827738887. The next prime is 827738903. The reversal of 827738901 is 109837728.

It is not a de Polignac number, because 827738901 - 2²¹ = 825641749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827738903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4180401 + ... + 4180598.

It is an arithmetic number, because the mean of its divisors is an integer number (108693000).

Almost surely, 2^827738901 is an apocalyptic number.

It is an amenable number.

827738901 is a deficient number, since it is larger than the sum of its proper divisors (476577099).

827738901 is a wasteful number, since it uses less digits than its factorization.

827738901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361016 (or 8361013 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 827738901 is about 28770.4518734065. The cubic root of 827738901 is about 938.9254739139.

The spelling of 827738901 in words is "eight hundred twenty-seven million, seven hundred thirty-eight thousand, nine hundred one".