36037037 has 2 divisors, whose sum is σ = 36037038. Its totient is φ = 36037036.

The previous prime is 36037019. The next prime is 36037039. The reversal of 36037037 is 73073063.

36037037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31685641 + 4351396 = 5629^2 + 2086^2 .

It is a cyclic number.

It is not a de Polignac number, because 36037037 - 2¹⁴ = 36020653 is a prime.

Together with 36037039, it forms a pair of twin primes.

It is a Chen prime.

36037037 is a modest number, since divided by 37037 gives 36 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36037039) 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, 18018518 + 18018519.

It is an arithmetic number, because the mean of its divisors is an integer number (18018519).

Almost surely, 2^36037037 is an apocalyptic number.

It is an amenable number.

36037037 is a deficient number, since it is larger than the sum of its proper divisors (1).

36037037 is an equidigital number, since it uses as much as digits as its factorization.

36037037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 29.

The square root of 36037037 is about 6003.0856232441. The cubic root of 36037037 is about 330.3059207827.

The spelling of 36037037 in words is "thirty-six million, thirty-seven thousand, thirty-seven".