36766129 has 2 divisors, whose sum is σ = 36766130. Its totient is φ = 36766128.

The previous prime is 36766099. The next prime is 36766139. The reversal of 36766129 is 92166763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27279729 + 9486400 = 5223^2 + 3080^2 .

It is a cyclic number.

It is not a de Polignac number, because 36766129 - 2¹³ = 36757937 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36766091 and 36766100.

It is not a weakly prime, because it can be changed into another prime (36766139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18383064 + 18383065.

It is an arithmetic number, because the mean of its divisors is an integer number (18383065).

Almost surely, 2^36766129 is an apocalyptic number.

It is an amenable number.

36766129 is a deficient number, since it is larger than the sum of its proper divisors (1).

36766129 is an equidigital number, since it uses as much as digits as its factorization.

36766129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 40.

The square root of 36766129 is about 6063.5079780602. The cubic root of 36766129 is about 332.5186195690.

The spelling of 36766129 in words is "thirty-six million, seven hundred sixty-six thousand, one hundred twenty-nine".