4197672 has 48 divisors (see below), whose sum is σ = 11468340. Its totient is φ = 1387008.

The previous prime is 4197671. The next prime is 4197737. The reversal of 4197672 is 2767914.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4137156 + 60516 = 2034^2 + 246^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4¹¹ + 1 + 9 + 7 + 6⁴ + 7 + 2¹¹ .

It is not an unprimeable number, because it can be changed into a prime (4197671) 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, 12288 + ... + 12624.

Almost surely, 2^4197672 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 4197672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734170).

4197672 is an abundant number, since it is smaller than the sum of its proper divisors (7270668).

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

4197672 is a wasteful number, since it uses less digits than its factorization.

4197672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 4197672 is about 2048.8221006227. The cubic root of 4197672 is about 161.3130490780.

The spelling of 4197672 in words is "four million, one hundred ninety-seven thousand, six hundred seventy-two".