36788193 has 24 divisors (see below), whose sum is σ = 58629480. Its totient is φ = 22083840.

The previous prime is 36788183. The next prime is 36788203. The reversal of 36788193 is 39188763.

It is a happy number.

36788193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36788183) and next prime (36788203).

It can be written as a sum of positive squares in 4 ways, for example, as 1361889 + 35426304 = 1167^2 + 5952^2 .

It is not a de Polignac number, because 36788193 - 2¹³ = 36780001 is a prime.

It is a super-2 number, since 2×36788193² = 2706742288410498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36788183) 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 in 23 ways as a sum of consecutive naturals, for example, 963 + ... + 8631.

It is an arithmetic number, because the mean of its divisors is an integer number (2442895).

Almost surely, 2^36788193 is an apocalyptic number.

It is an amenable number.

36788193 is a deficient number, since it is larger than the sum of its proper divisors (21841287).

36788193 is a wasteful number, since it uses less digits than its factorization.

36788193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729 (or 7726 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 36788193 is about 6065.3271140145. The cubic root of 36788193 is about 332.5851230228.

The spelling of 36788193 in words is "thirty-six million, seven hundred eighty-eight thousand, one hundred ninety-three".