4180905 has 24 divisors (see below), whose sum is σ = 7387848. Its totient is φ = 2186496.

The previous prime is 4180849. The next prime is 4180909. The reversal of 4180905 is 5090814.

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 4112784 = 261^2 + 2028^2 .

It is not a de Polignac number, because 4180905 - 2⁷ = 4180777 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4180909) 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, 1509 + ... + 3261.

It is an arithmetic number, because the mean of its divisors is an integer number (307827).

Almost surely, 2^4180905 is an apocalyptic number.

4180905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4180905 is a deficient number, since it is larger than the sum of its proper divisors (3206943).

4180905 is a wasteful number, since it uses less digits than its factorization.

4180905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4180905 is about 2044.7261430324. The cubic root of 4180905 is about 161.0979818429.

Subtracting 4180905 from its reverse (5090814), we obtain a palindrome (909909).

The spelling of 4180905 in words is "four million, one hundred eighty thousand, nine hundred five".