36038125 has 30 divisors (see below), whose sum is σ = 47508230. Its totient is φ = 27324000.

The previous prime is 36038083. The next prime is 36038131. The reversal of 36038125 is 52183063.

It can be written as a sum of positive squares in 5 ways, for example, as 10666756 + 25371369 = 3266^2 + 5037^2 .

It is not a de Polignac number, because 36038125 - 2⁷ = 36037997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36038093 and 36038102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 330571 + ... + 330679.

Almost surely, 2^36038125 is an apocalyptic number.

It is an amenable number.

36038125 is a deficient number, since it is larger than the sum of its proper divisors (11470105).

36038125 is an equidigital number, since it uses as much as digits as its factorization.

36038125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 36038125 is about 6003.1762426236. The cubic root of 36038125 is about 330.3092448557.

It can be divided in two parts, 36038 and 125, that added together give a palindrome (36163).

The spelling of 36038125 in words is "thirty-six million, thirty-eight thousand, one hundred twenty-five".