5827084101 has 12 divisors (see below), whose sum is σ = 8912011212. Its totient is φ = 3656209536.

The previous prime is 5827084031. The next prime is 5827084129. The reversal of 5827084101 is 1014807285.

5827084101 is a `hidden beast` number, since 582 + 70 + 8 + 4 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3489264900 + 2337819201 = 59070^2 + 48351^2 .

It is not a de Polignac number, because 5827084101 - 2²² = 5822889797 is a prime.

It is a super-3 number, since 3×5827084101³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827084171) 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, 19042606 + ... + 19042911.

It is an arithmetic number, because the mean of its divisors is an integer number (742667601).

Almost surely, 2^5827084101 is an apocalyptic number.

5827084101 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5827084101 is a deficient number, since it is larger than the sum of its proper divisors (3084927111).

5827084101 is a wasteful number, since it uses less digits than its factorization.

5827084101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38085540 (or 38085537 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5827084101 is about 76335.3397909513. The cubic root of 5827084101 is about 1799.4941069053.

The spelling of 5827084101 in words is "five billion, eight hundred twenty-seven million, eighty-four thousand, one hundred one".