973944 has 56 divisors (see below), whose sum is σ = 2754360. Its totient is φ = 322704.

The previous prime is 973919. The next prime is 973957. The reversal of 973944 is 449379.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 973899 and 973908.

It is a congruent number.

It is an unprimeable number.

973944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5749 + ... + 5915.

It is an arithmetic number, because the mean of its divisors is an integer number (49185).

973944 is a Friedman number, since it can be written as ((9*7)^3-9^4)*4, using all its digits and the basic arithmetic operations.

2⁹⁷³⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377180).

973944 is an abundant number, since it is smaller than the sum of its proper divisors (1780416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

973944 is a wasteful number, since it uses less digits than its factorization.

973944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 973944 is about 986.8860116548. The cubic root of 973944 is about 99.1238120350.

The spelling of 973944 in words is "nine hundred seventy-three thousand, nine hundred forty-four".