36249 has 8 divisors (see below), whose sum is σ = 49632. Its totient is φ = 23520.

The previous prime is 36241. The next prime is 36251. The reversal of 36249 is 94263.

36249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 36249 - 2³ = 36241 is a prime.

36249 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36249.

It is not an unprimeable number, because it can be changed into a prime (36241) 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, 12 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (6204).

2³⁶²⁴⁹ is an apocalyptic number.

It is an amenable number.

36249 is a deficient number, since it is larger than the sum of its proper divisors (13383).

36249 is a wasteful number, since it uses less digits than its factorization.

36249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its digits is 1296, while the sum is 24.

The square root of 36249 is about 190.3917014998. The cubic root of 36249 is about 33.0952254106.

The spelling of 36249 in words is "thirty-six thousand, two hundred forty-nine".