4538105 has 24 divisors (see below), whose sum is σ = 6457416. Its totient is φ = 3041280.

The previous prime is 4538101. The next prime is 4538113. The reversal of 4538105 is 5018354.

It can be written as a sum of positive squares in 4 ways, for example, as 958441 + 3579664 = 979^2 + 1892^2 .

It is not a de Polignac number, because 4538105 - 2² = 4538101 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7577 + ... + 8153.

It is an arithmetic number, because the mean of its divisors is an integer number (269059).

Almost surely, 2^4538105 is an apocalyptic number.

It is an amenable number.

4538105 is a deficient number, since it is larger than the sum of its proper divisors (1919311).

4538105 is a wasteful number, since it uses less digits than its factorization.

4538105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 4538105 is about 2130.2828450701. The cubic root of 4538105 is about 165.5610530399.

Subtracting 4538105 from its reverse (5018354), we obtain a square (480249 = 693²).

It can be divided in two parts, 453 and 8105, that added together give a palindrome (8558).

The spelling of 4538105 in words is "four million, five hundred thirty-eight thousand, one hundred five".