42788205 has 24 divisors (see below), whose sum is σ = 74760192. Its totient is φ = 22637664.

The previous prime is 42788197. The next prime is 42788237. The reversal of 42788205 is 50288724.

It is a happy number.

It is not a de Polignac number, because 42788205 - 2³ = 42788197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42788205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1972 + ... + 9458.

It is an arithmetic number, because the mean of its divisors is an integer number (3115008).

Almost surely, 2^42788205 is an apocalyptic number.

42788205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42788205 is a deficient number, since it is larger than the sum of its proper divisors (31971987).

42788205 is a wasteful number, since it uses less digits than its factorization.

42788205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42788205 is about 6541.2693722243. The cubic root of 42788205 is about 349.7636635797.

The spelling of 42788205 in words is "forty-two million, seven hundred eighty-eight thousand, two hundred five".