37973 has 8 divisors (see below), whose sum is σ = 43008. Its totient is φ = 33264.

The previous prime is 37967. The next prime is 37987.

37973 is nontrivially palindromic in base 10.

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 37973 - 2⁴ = 37957 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37973.

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 7 ways as a sum of consecutive naturals, for example, 236 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2³⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

37973 is a deficient number, since it is larger than the sum of its proper divisors (5035).

37973 is a wasteful number, since it uses less digits than its factorization.

37973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its digits is 3969, while the sum is 29.

The square root of 37973 is about 194.8666210514. The cubic root of 37973 is about 33.6117896080.

The spelling of 37973 in words is "thirty-seven thousand, nine hundred seventy-three".