36628873 has 2 divisors, whose sum is σ = 36628874. Its totient is φ = 36628872.

The previous prime is 36628859. The next prime is 36628909. The reversal of 36628873 is 37882663.

36628873 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., 35010889 + 1617984 = 5917^2 + 1272^2 .

It is a cyclic number.

It is not a de Polignac number, because 36628873 - 2⁵ = 36628841 is a prime.

It is not a weakly prime, because it can be changed into another prime (36628373) 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, 18314436 + 18314437.

It is an arithmetic number, because the mean of its divisors is an integer number (18314437).

Almost surely, 2^36628873 is an apocalyptic number.

It is an amenable number.

36628873 is a deficient number, since it is larger than the sum of its proper divisors (1).

36628873 is an equidigital number, since it uses as much as digits as its factorization.

36628873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 43.

The square root of 36628873 is about 6052.1791943068. The cubic root of 36628873 is about 332.1043153357.

The spelling of 36628873 in words is "thirty-six million, six hundred twenty-eight thousand, eight hundred seventy-three".