8972100 has 72 divisors (see below), whose sum is σ = 28852320. Its totient is φ = 2391840.

The previous prime is 8972083. The next prime is 8972101. The reversal of 8972100 is 12798.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8972101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039 + ... + 4361.

Almost surely, 2^8972100 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 8972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426160).

8972100 is an abundant number, since it is smaller than the sum of its proper divisors (19880220).

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

8972100 is a wasteful number, since it uses less digits than its factorization.

8972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8972100 is about 2995.3463906533. The cubic root of 8972100 is about 207.7932178201.

Adding to 8972100 its reverse (12798), we get a palindrome (8984898).

The spelling of 8972100 in words is "eight million, nine hundred seventy-two thousand, one hundred".