37983 has 8 divisors (see below), whose sum is σ = 55296. Its totient is φ = 23000.

The previous prime is 37967. The next prime is 37987. The reversal of 37983 is 38973.

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

It is a cyclic number.

It is not a de Polignac number, because 37983 - 2⁴ = 37967 is a prime.

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 37983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

2³⁷⁹⁸³ is an apocalyptic number.

37983 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

37983 is a deficient number, since it is larger than the sum of its proper divisors (17313).

37983 is a wasteful number, since it uses less digits than its factorization.

37983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165.

The product of its digits is 4536, while the sum is 30.

The square root of 37983 is about 194.8922779384. The cubic root of 37983 is about 33.6147398481.

Subtracting 37983 from its reverse (38973), we obtain a triangular number (990 = T₄₄).

The spelling of 37983 in words is "thirty-seven thousand, nine hundred eighty-three".