42661205 has 18 divisors (see below), whose sum is σ = 53940726. Its totient is φ = 32388048.

The previous prime is 42661163. The next prime is 42661207. The reversal of 42661205 is 50216624.

It can be written as a sum of positive squares in only one way, i.e., 34128964 + 8532241 = 5842^2 + 2921^2 .

It is not a de Polignac number, because 42661205 - 2¹⁸ = 42399061 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42661207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 335852 + ... + 335978.

It is an arithmetic number, because the mean of its divisors is an integer number (2996707).

Almost surely, 2^42661205 is an apocalyptic number.

It is an amenable number.

42661205 is a deficient number, since it is larger than the sum of its proper divisors (11279521).

42661205 is an equidigital number, since it uses as much as digits as its factorization.

42661205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 42661205 is about 6531.5545622769. The cubic root of 42661205 is about 349.4172752417.

Multiplying 42661205 by its product of nonzero digits (2880), we get a square (122864270400 = 350520²).

Adding to 42661205 its reverse (50216624), we get a palindrome (92877829).

The spelling of 42661205 in words is "forty-two million, six hundred sixty-one thousand, two hundred five".