36766033 has 2 divisors, whose sum is σ = 36766034. Its totient is φ = 36766032.

The previous prime is 36766003. The next prime is 36766039. The reversal of 36766033 is 33066763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27962944 + 8803089 = 5288^2 + 2967^2 .

It is an emirp because it is prime and its reverse (33066763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36766033 - 2²⁵ = 3211601 is a prime.

It is the 6064-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 36766033.

It is not a weakly prime, because it can be changed into another prime (36766039) by changing a digit.

It is a nontrivial repunit in base 6063.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18383016 + 18383017.

It is an arithmetic number, because the mean of its divisors is an integer number (18383017).

Almost surely, 2^36766033 is an apocalyptic number.

It is an amenable number.

36766033 is a deficient number, since it is larger than the sum of its proper divisors (1).

36766033 is an equidigital number, since it uses as much as digits as its factorization.

36766033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 34.

The square root of 36766033 is about 6063.5000618455. The cubic root of 36766033 is about 332.5183301557.

The spelling of 36766033 in words is "thirty-six million, seven hundred sixty-six thousand, thirty-three".