9971800 has 48 divisors (see below), whose sum is σ = 23536440. Its totient is φ = 3928320.

The previous prime is 9971783. The next prime is 9971807. The reversal of 9971800 is 81799.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14259 + ... + 14941.

Almost surely, 2^9971800 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 9971800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768220).

9971800 is an abundant number, since it is smaller than the sum of its proper divisors (13564640).

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

9971800 is a wasteful number, since it uses less digits than its factorization.

9971800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 34.

The square root of 9971800 is about 3157.8157007653. The cubic root of 9971800 is about 215.2407614777.

The spelling of 9971800 in words is "nine million, nine hundred seventy-one thousand, eight hundred".