36309 has 24 divisors (see below), whose sum is σ = 63840. Its totient is φ = 18144.

The previous prime is 36307. The next prime is 36313. The reversal of 36309 is 90363.

It is not a de Polignac number, because 36309 - 2¹ = 36307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

36309 is a lucky number.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36307) 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, 1902 + ... + 1920.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2³⁶³⁰⁹ is an apocalyptic number.

36309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

36309 is a deficient number, since it is larger than the sum of its proper divisors (27531).

36309 is a wasteful number, since it uses less digits than its factorization.

36309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 36309 is about 190.5492062434. The cubic root of 36309 is about 33.1134752836.

The spelling of 36309 in words is "thirty-six thousand, three hundred nine".