9672100 has 27 divisors (see below), whose sum is σ = 21056161. Its totient is φ = 3856400.

The previous prime is 9672079. The next prime is 9672101. The reversal of 9672100 is 12769.

The square root of 9672100 is 3110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3481956 + 6190144 = 1866^2 + 2488^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9672101) 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 8 ways as a sum of consecutive naturals, for example, 30945 + ... + 31255.

Almost surely, 2^9672100 is an apocalyptic number.

9672100 is the 3110-th square number.

It is an amenable number.

9672100 is an abundant number, since it is smaller than the sum of its proper divisors (11384061).

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

9672100 is a wasteful number, since it uses less digits than its factorization.

9672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The cubic root of 9672100 is about 213.0624545930.

Multiplying 9672100 by its sum of digits (25), we get a square (241802500 = 15550²).

9672100 divided by its sum of digits (25) gives a square (386884 = 622²).

Adding to 9672100 its reverse (12769), we get a palindrome (9684869).

Multiplying 9672100 by its reverse (12769), we get a square (123503044900 = 351430²).

The spelling of 9672100 in words is "nine million, six hundred seventy-two thousand, one hundred".