4097952 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1244160.

The previous prime is 4097923. The next prime is 4097953. The reversal of 4097952 is 2597904.

4097952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4097953) 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 23 ways as a sum of consecutive naturals, for example, 132177 + ... + 132207.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 2^4097952 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 4097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4097952 is an abundant number, since it is smaller than the sum of its proper divisors (9110880).

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

4097952 is a wasteful number, since it uses less digits than its factorization.

4097952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4097952 is about 2024.3398924094. The cubic root of 4097952 is about 160.0254126302.

The spelling of 4097952 in words is "four million, ninety-seven thousand, nine hundred fifty-two".