3973 has 4 divisors (see below), whose sum is σ = 4140. Its totient is φ = 3808.

The previous prime is 3967. The next prime is 3989. The reversal of 3973 is 3793.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2209 + 1764 = 47^2 + 42^2 .

It is a cyclic number.

It is not a de Polignac number, because 3973 - 2⁹ = 3461 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923) 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, 40 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (1035).

2³⁹⁷³ is an apocalyptic number.

It is an amenable number.

3973 is a deficient number, since it is larger than the sum of its proper divisors (167).

3973 is a wasteful number, since it uses less digits than its factorization.

3973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166.

The product of its digits is 567, while the sum is 22.

The square root of 3973 is about 63.0317380373. The cubic root of 3973 is about 15.8382133311.

It can be divided in two parts, 397 and 3, that added together give a square (400 = 20²).

The spelling of 3973 in words is "three thousand, nine hundred seventy-three".