36688 has 10 divisors (see below), whose sum is σ = 71114. Its totient is φ = 18336.

The previous prime is 36683. The next prime is 36691. The reversal of 36688 is 88663.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 8464 = 168^2 + 92^2 .

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36683) 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 as a sum of consecutive naturals, namely, 1131 + ... + 1162.

2³⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

36688 is a deficient number, since it is larger than the sum of its proper divisors (34426).

36688 is a wasteful number, since it uses less digits than its factorization.

36688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2295 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 36688 is about 191.5411183010. The cubic root of 36688 is about 33.2282915567.

It can be divided in two parts, 366 and 88, that added together give a palindrome (454).

The spelling of 36688 in words is "thirty-six thousand, six hundred eighty-eight".