36968 has 8 divisors (see below), whose sum is σ = 69330. Its totient is φ = 18480.

The previous prime is 36947. The next prime is 36973. The reversal of 36968 is 86963.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 3844 = 182^2 + 62^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36968.

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, 2303 + ... + 2318.

2³⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

36968 is a deficient number, since it is larger than the sum of its proper divisors (32362).

36968 is a wasteful number, since it uses less digits than its factorization.

36968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4623 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 36968 is about 192.2706425849. The cubic root of 36968 is about 33.3126093404.

Adding to 36968 its product of digits (7776), we get a palindrome (44744).

Subtracting from 36968 its product of digits (7776), we obtain a palindrome (29192).

The spelling of 36968 in words is "thirty-six thousand, nine hundred sixty-eight".