42788 has 12 divisors (see below), whose sum is σ = 78960. Its totient is φ = 20232.

The previous prime is 42787. The next prime is 42793. The reversal of 42788 is 88724.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 42788.

It is not an unprimeable number, because it can be changed into a prime (42787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (6580).

2⁴²⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

42788 is a deficient number, since it is larger than the sum of its proper divisors (36172).

42788 is a wasteful number, since it uses less digits than its factorization.

42788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 42788 is about 206.8526045280. The cubic root of 42788 is about 34.9763105002.

Subtracting from 42788 its product of digits (3584), we obtain a square (39204 = 198²).

It can be divided in two parts, 427 and 88, that added together give a palindrome (515).

The spelling of 42788 in words is "forty-two thousand, seven hundred eighty-eight".