42005331 has 16 divisors (see below), whose sum is σ = 62648320. Its totient is φ = 27815400.

The previous prime is 42005303. The next prime is 42005339. The reversal of 42005331 is 13350024.

It is not a de Polignac number, because 42005331 - 2¹⁵ = 41972563 is a prime.

It is a super-2 number, since 2×42005331² = 3528895664839122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42005339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (3915520).

Almost surely, 2^42005331 is an apocalyptic number.

42005331 is a deficient number, since it is larger than the sum of its proper divisors (20642989).

42005331 is a wasteful number, since it uses less digits than its factorization.

42005331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10463 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 42005331 is about 6481.1519809367. The cubic root of 42005331 is about 347.6173707697.

Adding to 42005331 its reverse (13350024), we get a palindrome (55355355).

The spelling of 42005331 in words is "forty-two million, five thousand, three hundred thirty-one".