827986401 has 32 divisors (see below), whose sum is σ = 1343024640. Its totient is φ = 499986000.

The previous prime is 827986399. The next prime is 827986403. The reversal of 827986401 is 104689728.

It is an interprime number because it is at equal distance from previous prime (827986399) and next prime (827986403).

It is not a de Polignac number, because 827986401 - 2¹ = 827986399 is a prime.

It is a super-2 number, since 2×827986401² = 1371122960481865602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827986403) 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 31 ways as a sum of consecutive naturals, for example, 79126 + ... + 88976.

It is an arithmetic number, because the mean of its divisors is an integer number (41969520).

Almost surely, 2^827986401 is an apocalyptic number.

It is an amenable number.

827986401 is a deficient number, since it is larger than the sum of its proper divisors (515038239).

827986401 is a wasteful number, since it uses less digits than its factorization.

827986401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 827986401 is about 28774.7528399463. The cubic root of 827986401 is about 939.0190464550.

The spelling of 827986401 in words is "eight hundred twenty-seven million, nine hundred eighty-six thousand, four hundred one".