2973000 has 64 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 792000.

The previous prime is 2972971. The next prime is 2973001. The reversal of 2973000 is 3792.

2973000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2973001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2505 + ... + 3495.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

2^2973000 is an apocalyptic number.

2973000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

2973000 is an abundant number, since it is smaller than the sum of its proper divisors (6312120).

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

2973000 is a wasteful number, since it uses less digits than its factorization.

2973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 2973000 is about 1724.2389625571. The cubic root of 2973000 is about 143.7909776057.

Adding to 2973000 its reverse (3792), we get a palindrome (2976792).

The spelling of 2973000 in words is "two million, nine hundred seventy-three thousand".