36129249 has 24 divisors (see below), whose sum is σ = 56736680. Its totient is φ = 22021632.

The previous prime is 36129221. The next prime is 36129257. The reversal of 36129249 is 94292163.

36129249 is a `hidden beast` number, since 361 + 292 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2117025 + 34012224 = 1455^2 + 5832^2 .

It is not a de Polignac number, because 36129249 - 2⁹ = 36128737 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36129259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11337 + ... + 14169.

Almost surely, 2^36129249 is an apocalyptic number.

36129249 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

36129249 is a deficient number, since it is larger than the sum of its proper divisors (20607431).

36129249 is a wasteful number, since it uses less digits than its factorization.

36129249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2958 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 36129249 is about 6010.7610998941. The cubic root of 36129249 is about 330.5874110685.

The spelling of 36129249 in words is "thirty-six million, one hundred twenty-nine thousand, two hundred forty-nine".