42905835 has 32 divisors (see below), whose sum is σ = 87175680. Its totient is φ = 19613664.

The previous prime is 42905831. The next prime is 42905839. The reversal of 42905835 is 53850924.

It is an interprime number because it is at equal distance from previous prime (42905831) and next prime (42905839).

It is not a de Polignac number, because 42905835 - 2² = 42905831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42905835.

It is not an unprimeable number, because it can be changed into a prime (42905831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21757 + ... + 23646.

It is an arithmetic number, because the mean of its divisors is an integer number (2724240).

Almost surely, 2^42905835 is an apocalyptic number.

42905835 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42905835 is an abundant number, since it is smaller than the sum of its proper divisors (44269845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42905835 is a wasteful number, since it uses less digits than its factorization.

42905835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45424 (or 45418 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 42905835 is about 6550.2545752055. The cubic root of 42905835 is about 350.0838846556.

The spelling of 42905835 in words is "forty-two million, nine hundred five thousand, eight hundred thirty-five".