4113540 has 36 divisors (see below), whose sum is σ = 12478284. Its totient is φ = 1096896.

The previous prime is 4113533. The next prime is 4113547. The reversal of 4113540 is 453114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4113533) and next prime (4113547).

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 3048516 = 1032^2 + 1746^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4113540² = 33842422663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4113547) 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, 11247 + ... + 11606.

It is an arithmetic number, because the mean of its divisors is an integer number (346619).

Almost surely, 2^4113540 is an apocalyptic number.

It is an amenable number.

4113540 is an abundant number, since it is smaller than the sum of its proper divisors (8364744).

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

4113540 is a wasteful number, since it uses less digits than its factorization.

4113540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22868 (or 22863 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4113540 is about 2028.1863819679. The cubic root of 4113540 is about 160.2280601907.

Adding to 4113540 its reverse (453114), we get a palindrome (4566654).

The spelling of 4113540 in words is "four million, one hundred thirteen thousand, five hundred forty".