973963000 has 64 divisors (see below), whose sum is σ = 2297318400. Its totient is φ = 386467200.

The previous prime is 973962989. The next prime is 973963043. The reversal of 973963000 is 369379.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123166 + ... + 130834.

It is an arithmetic number, because the mean of its divisors is an integer number (35895600).

Almost surely, 2^973963000 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 973963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148659200).

973963000 is an abundant number, since it is smaller than the sum of its proper divisors (1323355400).

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

973963000 is a wasteful number, since it uses less digits than its factorization.

973963000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 37.

The square root of 973963000 is about 31208.3802847889. The cubic root of 973963000 is about 991.2445661008.

The spelling of 973963000 in words is "nine hundred seventy-three million, nine hundred sixty-three thousand".