4162000 has 40 divisors (see below), whose sum is σ = 10068552. Its totient is φ = 1664000.

The previous prime is 4161977. The next prime is 4162003. The reversal of 4162000 is 2614.

4162000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 3857296 = 552^2 + 1964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162003) 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, 960 + ... + 3040.

Almost surely, 2^4162000 is an apocalyptic number.

4162000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034276).

4162000 is an abundant number, since it is smaller than the sum of its proper divisors (5906552).

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

4162000 is a wasteful number, since it uses less digits than its factorization.

4162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4162000 is about 2040.0980368600. The cubic root of 4162000 is about 160.8548000973.

Adding to 4162000 its reverse (2614), we get a palindrome (4164614).

The spelling of 4162000 in words is "four million, one hundred sixty-two thousand".