4165152 has 48 divisors (see below), whose sum is σ = 11198880. Its totient is φ = 1354752.

The previous prime is 4165103. The next prime is 4165157. The reversal of 4165152 is 2515614.

4165152 is nontrivially palindromic in base 7.

4165152 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4165157) 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 7 ways as a sum of consecutive naturals, for example, 3624 + ... + 4632.

It is an arithmetic number, because the mean of its divisors is an integer number (233310).

Almost surely, 2^4165152 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 4165152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599440).

4165152 is an abundant number, since it is smaller than the sum of its proper divisors (7033728).

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

4165152 is a wasteful number, since it uses less digits than its factorization.

4165152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 4165152 is about 2040.8704025489. The cubic root of 4165152 is about 160.8953964766.

The spelling of 4165152 in words is "four million, one hundred sixty-five thousand, one hundred fifty-two".