37966 has 8 divisors (see below), whose sum is σ = 58464. Its totient is φ = 18480.

The previous prime is 37963. The next prime is 37967. The reversal of 37966 is 66973.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37963) 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, 150 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (7308).

2³⁷⁹⁶⁶ is an apocalyptic number.

37966 is a deficient number, since it is larger than the sum of its proper divisors (20498).

37966 is a wasteful number, since it uses less digits than its factorization.

37966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its digits is 6804, while the sum is 31.

The square root of 37966 is about 194.8486592204. The cubic root of 37966 is about 33.6097241318.

The spelling of 37966 in words is "thirty-seven thousand, nine hundred sixty-six".