36128925 has 108 divisors (see below), whose sum is σ = 78560820. Its totient is φ = 15805440.

The previous prime is 36128819. The next prime is 36128959. The reversal of 36128925 is 52982163.

It can be written as a sum of positive squares in 6 ways, for example, as 7001316 + 29127609 = 2646^2 + 5397^2 .

It is not a de Polignac number, because 36128925 - 2⁷ = 36128797 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36128925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 319669 + ... + 319781.

It is an arithmetic number, because the mean of its divisors is an integer number (727415).

Almost surely, 2^36128925 is an apocalyptic number.

36128925 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36128925 is an abundant number, since it is smaller than the sum of its proper divisors (42431895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36128925 is a wasteful number, since it uses less digits than its factorization.

36128925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 36128925 is about 6010.7341481719. The cubic root of 36128925 is about 330.5864228512.

The spelling of 36128925 in words is "thirty-six million, one hundred twenty-eight thousand, nine hundred twenty-five".