36638525 has 36 divisors (see below), whose sum is σ = 57674880. Its totient is φ = 22831200.

The previous prime is 36638509. The next prime is 36638527. The reversal of 36638525 is 52583663.

It is a happy number.

It is not a de Polignac number, because 36638525 - 2⁴ = 36638509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36638527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12116 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (1602080).

Almost surely, 2^36638525 is an apocalyptic number.

36638525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36638525 is a deficient number, since it is larger than the sum of its proper divisors (21036355).

36638525 is a wasteful number, since it uses less digits than its factorization.

36638525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2742 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 36638525 is about 6052.9765405129. The cubic root of 36638525 is about 332.1334834853.

The spelling of 36638525 in words is "thirty-six million, six hundred thirty-eight thousand, five hundred twenty-five".