42005985 has 48 divisors (see below), whose sum is σ = 79442496. Its totient is φ = 18893952.

The previous prime is 42005983. The next prime is 42006037. The reversal of 42005985 is 58950024.

It is not a de Polignac number, because 42005985 - 2¹ = 42005983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42005983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48819 + ... + 49671.

It is an arithmetic number, because the mean of its divisors is an integer number (1655052).

Almost surely, 2^42005985 is an apocalyptic number.

It is an amenable number.

42005985 is a deficient number, since it is larger than the sum of its proper divisors (37436511).

42005985 is a wasteful number, since it uses less digits than its factorization.

42005985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 42005985 is about 6481.2024347339. The cubic root of 42005985 is about 347.6191748310.

The spelling of 42005985 in words is "forty-two million, five thousand, nine hundred eighty-five".