36803729 has 2 divisors, whose sum is σ = 36803730. Its totient is φ = 36803728.

The previous prime is 36803719. The next prime is 36803731. The reversal of 36803729 is 92730863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23261329 + 13542400 = 4823^2 + 3680^2 .

It is a cyclic number.

It is not a de Polignac number, because 36803729 - 2⁴ = 36803713 is a prime.

Together with 36803731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36803692 and 36803701.

It is not a weakly prime, because it can be changed into another prime (36803719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18401864 + 18401865.

It is an arithmetic number, because the mean of its divisors is an integer number (18401865).

Almost surely, 2^36803729 is an apocalyptic number.

It is an amenable number.

36803729 is a deficient number, since it is larger than the sum of its proper divisors (1).

36803729 is an equidigital number, since it uses as much as digits as its factorization.

36803729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 36803729 is about 6066.6077011786. The cubic root of 36803729 is about 332.6319343759.

The spelling of 36803729 in words is "thirty-six million, eight hundred three thousand, seven hundred twenty-nine".