42007905 has 24 divisors (see below), whose sum is σ = 73195200. Its totient is φ = 22286880.

The previous prime is 42007873. The next prime is 42007907. The reversal of 42007905 is 50970024.

It is not a de Polignac number, because 42007905 - 2⁵ = 42007873 is a prime.

It is a super-3 number, since 3×42007905³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42007907) 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, 6610 + ... + 11300.

It is an arithmetic number, because the mean of its divisors is an integer number (3049800).

Almost surely, 2^42007905 is an apocalyptic number.

42007905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42007905 is a deficient number, since it is larger than the sum of its proper divisors (31187295).

42007905 is a wasteful number, since it uses less digits than its factorization.

42007905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 42007905 is about 6481.3505537041. The cubic root of 42007905 is about 347.6244710497.

Adding to 42007905 its reverse (50970024), we get a palindrome (92977929).

The spelling of 42007905 in words is "forty-two million, seven thousand, nine hundred five".