65973 has 4 divisors (see below), whose sum is σ = 87968. Its totient is φ = 43980.

The previous prime is 65963. The next prime is 65981. The reversal of 65973 is 37956.

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 not a de Polignac number, because 65973 - 2⁴ = 65957 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 65973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65963) 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, 10993 + ... + 10998.

It is an arithmetic number, because the mean of its divisors is an integer number (21992).

2⁶⁵⁹⁷³ is an apocalyptic number.

It is an amenable number.

65973 is a deficient number, since it is larger than the sum of its proper divisors (21995).

65973 is a wasteful number, since it uses less digits than its factorization.

65973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21994.

The product of its digits is 5670, while the sum is 30.

The square root of 65973 is about 256.8520975192. The cubic root of 65973 is about 40.4068886727.

It can be divided in two parts, 6597 and 3, that multiplied together give a palindrome (19791).

The spelling of 65973 in words is "sixty-five thousand, nine hundred seventy-three".