36289 has 4 divisors (see below), whose sum is σ = 39600. Its totient is φ = 32980.

The previous prime is 36277. The next prime is 36293. The reversal of 36289 is 98263.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 98263 = 11 ⋅8933.

It is a cyclic number.

It is not a de Polignac number, because 36289 - 2⁷ = 36161 is a prime.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (36209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1639 + ... + 1660.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2³⁶²⁸⁹ is an apocalyptic number.

It is an amenable number.

36289 is a deficient number, since it is larger than the sum of its proper divisors (3311).

36289 is a wasteful number, since it uses less digits than its factorization.

36289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310.

The product of its digits is 2592, while the sum is 28.

The square root of 36289 is about 190.4967191319. The cubic root of 36289 is about 33.1073942280.

It can be divided in two parts, 36 and 289, that multiplied together give a square (10404 = 102²).

The spelling of 36289 in words is "thirty-six thousand, two hundred eighty-nine".