36864109 has 8 divisors (see below), whose sum is σ = 39176568. Its totient is φ = 34567680.

The previous prime is 36864073. The next prime is 36864131. The reversal of 36864109 is 90146863.

36864109 = 213² + 214² + ... + 493².

It can be written as a sum of positive squares in 4 ways, for example, as 12638025 + 24226084 = 3555^2 + 4922^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36864109 - 2¹¹ = 36862061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36864409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919 + ... + 8635.

It is an arithmetic number, because the mean of its divisors is an integer number (4897071).

Almost surely, 2^36864109 is an apocalyptic number.

It is an amenable number.

36864109 is a deficient number, since it is larger than the sum of its proper divisors (2312459).

36864109 is a wasteful number, since it uses less digits than its factorization.

36864109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 36864109 is about 6071.5820837736. The cubic root of 36864109 is about 332.8137397105.

The spelling of 36864109 in words is "thirty-six million, eight hundred sixty-four thousand, one hundred nine".