4104972 has 48 divisors (see below), whose sum is σ = 10752000. Its totient is φ = 1354320.

The previous prime is 4104967. The next prime is 4104977. The reversal of 4104972 is 2794014.

It is a happy number.

4104972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4104967) and next prime (4104977).

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 (4104977) 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 15 ways as a sum of consecutive naturals, for example, 20529 + ... + 20727.

It is an arithmetic number, because the mean of its divisors is an integer number (224000).

Almost surely, 2^4104972 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 4104972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376000).

4104972 is an abundant number, since it is smaller than the sum of its proper divisors (6647028).

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

4104972 is a wasteful number, since it uses less digits than its factorization.

4104972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4104972 is about 2026.0730490286. The cubic root of 4104972 is about 160.1167377229.

Adding to 4104972 its reverse (2794014), we get a palindrome (6898986).

It can be divided in two parts, 4 and 104972, that added together give a 4-th power (104976 = 18⁴).

The spelling of 4104972 in words is "four million, one hundred four thousand, nine hundred seventy-two".