42005205 has 24 divisors (see below), whose sum is σ = 79428960. Its totient is φ = 20365920.

The previous prime is 42005191. The next prime is 42005207. The reversal of 42005205 is 50250024.

It is not a de Polignac number, because 42005205 - 2⁴ = 42005189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42005207) 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, 41935 + ... + 42924.

It is an arithmetic number, because the mean of its divisors is an integer number (3309540).

Almost surely, 2^42005205 is an apocalyptic number.

42005205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42005205 is a deficient number, since it is larger than the sum of its proper divisors (37423755).

42005205 is a wasteful number, since it uses less digits than its factorization.

42005205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84881 (or 84878 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 42005205 is about 6481.1422604353. The cubic root of 42005205 is about 347.6170231961.

Adding to 42005205 its reverse (50250024), we get a palindrome (92255229).

The spelling of 42005205 in words is "forty-two million, five thousand, two hundred five".