9977100 has 72 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2280000.

The previous prime is 9977069. The next prime is 9977137. The reversal of 9977100 is 17799.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 2^9977100 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 9977100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

9977100 is an abundant number, since it is smaller than the sum of its proper divisors (23020788).

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

9977100 is a wasteful number, since it uses less digits than its factorization.

9977100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 33.

The square root of 9977100 is about 3158.6547769581. The cubic root of 9977100 is about 215.2788881278.

The spelling of 9977100 in words is "nine million, nine hundred seventy-seven thousand, one hundred".