42755 has 8 divisors (see below), whose sum is σ = 54432. Its totient is φ = 32128.

The previous prime is 42751. The next prime is 42767. The reversal of 42755 is 55724.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42755 - 2² = 42751 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42755.

It is not an unprimeable number, because it can be changed into a prime (42751) 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 7 ways as a sum of consecutive naturals, for example, 167 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁴²⁷⁵⁵ is an apocalyptic number.

42755 is a deficient number, since it is larger than the sum of its proper divisors (11677).

42755 is a wasteful number, since it uses less digits than its factorization.

42755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its digits is 1400, while the sum is 23.

The square root of 42755 is about 206.7728221987. The cubic root of 42755 is about 34.9673164278.

Adding to 42755 its sum of digits (23), we get a triangular number (42778 = T₂₉₂).

It can be divided in two parts, 42 and 755, that added together give a palindrome (797).

The spelling of 42755 in words is "forty-two thousand, seven hundred fifty-five".