36688081 has 2 divisors, whose sum is σ = 36688082. Its totient is φ = 36688080.

The previous prime is 36688079. The next prime is 36688109. The reversal of 36688081 is 18088663.

36688081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28987456 + 7700625 = 5384^2 + 2775^2 .

It is a cyclic number.

It is not a de Polignac number, because 36688081 - 2¹ = 36688079 is a prime.

It is a super-2 number, since 2×36688081² = 2692030574925122, which contains 22 as substring.

Together with 36688079, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36688021) 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 as a sum of consecutive naturals, namely, 18344040 + 18344041.

It is an arithmetic number, because the mean of its divisors is an integer number (18344041).

Almost surely, 2^36688081 is an apocalyptic number.

It is an amenable number.

36688081 is a deficient number, since it is larger than the sum of its proper divisors (1).

36688081 is an equidigital number, since it uses as much as digits as its factorization.

36688081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 36688081 is about 6057.0686804757. The cubic root of 36688081 is about 332.2831601054.

The spelling of 36688081 in words is "thirty-six million, six hundred eighty-eight thousand, eighty-one".