39973 has 4 divisors (see below), whose sum is σ = 40608. Its totient is φ = 39340.

The previous prime is 39971. The next prime is 39979. The reversal of 39973 is 37993.

39973 = 2⁴ + 3⁴ + ... + 11⁴.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 39973 - 2¹ = 39971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39971) 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, 211 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (10152).

2³⁹⁹⁷³ is an apocalyptic number.

It is an amenable number.

39973 is a deficient number, since it is larger than the sum of its proper divisors (635).

39973 is an equidigital number, since it uses as much as digits as its factorization.

39973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634.

The product of its digits is 5103, while the sum is 31.

The square root of 39973 is about 199.9324886055. The cubic root of 39973 is about 34.1918223098.

Adding to 39973 its sum of digits (31), we get a palindrome (40004).

The spelling of 39973 in words is "thirty-nine thousand, nine hundred seventy-three".