4181541 has 48 divisors (see below), whose sum is σ = 7426944. Its totient is φ = 2036736.

The previous prime is 4181533. The next prime is 4181557. The reversal of 4181541 is 1451814.

It is not a de Polignac number, because 4181541 - 2³ = 4181533 is a prime.

4181541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78871 + ... + 78923.

It is an arithmetic number, because the mean of its divisors is an integer number (154728).

Almost surely, 2^4181541 is an apocalyptic number.

It is an amenable number.

4181541 is a deficient number, since it is larger than the sum of its proper divisors (3245403).

4181541 is a wasteful number, since it uses less digits than its factorization.

4181541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 4181541 is about 2044.8816591676. The cubic root of 4181541 is about 161.1061501797.

It can be divided in two parts, 418154 and 1, that added together give a triangular number (418155 = T₉₁₄).

The spelling of 4181541 in words is "four million, one hundred eighty-one thousand, five hundred forty-one".