42005997 has 36 divisors (see below), whose sum is σ = 70646940. Its totient is φ = 23950080.

The previous prime is 42005983. The next prime is 42006037. The reversal of 42005997 is 79950024.

It can be written as a sum of positive squares in 2 ways, for example, as 15163236 + 26842761 = 3894^2 + 5181^2 .

It is not a de Polignac number, because 42005997 - 2⁶ = 42005933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42005917) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17379 + ... + 19647.

It is an arithmetic number, because the mean of its divisors is an integer number (1962415).

Almost surely, 2^42005997 is an apocalyptic number.

It is an amenable number.

42005997 is a deficient number, since it is larger than the sum of its proper divisors (28640943).

42005997 is a wasteful number, since it uses less digits than its factorization.

42005997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 42005997 is about 6481.2033604879. The cubic root of 42005997 is about 347.6192079329.

The spelling of 42005997 in words is "forty-two million, five thousand, nine hundred ninety-seven".