36938 has 16 divisors (see below), whose sum is σ = 63936. Its totient is φ = 15840.

The previous prime is 36931. The next prime is 36943. The reversal of 36938 is 83963.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 36938.

It is not an unprimeable number, because it can be changed into a prime (36931) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (3996).

2³⁶⁹³⁸ is an apocalyptic number.

36938 is a deficient number, since it is larger than the sum of its proper divisors (26998).

36938 is a wasteful number, since it uses less digits than its factorization.

36938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109.

The product of its digits is 3888, while the sum is 29.

The square root of 36938 is about 192.1926117206. The cubic root of 36938 is about 33.3035957003.

The spelling of 36938 in words is "thirty-six thousand, nine hundred thirty-eight".