827979901 has 24 divisors (see below), whose sum is σ = 982734720. Its totient is φ = 695368800.

The previous prime is 827979881. The next prime is 827979937. The reversal of 827979901 is 109979728.

It is not a de Polignac number, because 827979901 - 2⁷ = 827979773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827979991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311856 + ... + 1312486.

It is an arithmetic number, because the mean of its divisors is an integer number (40947280).

Almost surely, 2^827979901 is an apocalyptic number.

It is an amenable number.

827979901 is a deficient number, since it is larger than the sum of its proper divisors (154754819).

827979901 is a wasteful number, since it uses less digits than its factorization.

827979901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 52.

The square root of 827979901 is about 28774.6398934895. The cubic root of 827979901 is about 939.0165892328.

The spelling of 827979901 in words is "eight hundred twenty-seven million, nine hundred seventy-nine thousand, nine hundred one".