36368 has 10 divisors (see below), whose sum is σ = 70494. Its totient is φ = 18176.

The previous prime is 36353. The next prime is 36373. The reversal of 36368 is 86363.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 1024 = 188^2 + 32^2 .

It is a d-powerful number, because it can be written as 3⁴ + 6² + 3⁷ + 6⁴ + 8⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36368.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121 + ... + 1152.

2³⁶³⁶⁸ is an apocalyptic number.

It is an amenable number.

36368 is a deficient number, since it is larger than the sum of its proper divisors (34126).

36368 is a wasteful number, since it uses less digits than its factorization.

36368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2275 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 36368 is about 190.7039590570. The cubic root of 36368 is about 33.1314013972.

It can be divided in two parts, 36 and 368, that added together give a palindrome (404).

The spelling of 36368 in words is "thirty-six thousand, three hundred sixty-eight".