42088 has 8 divisors (see below), whose sum is σ = 78930. Its totient is φ = 21040.

The previous prime is 42083. The next prime is 42089. The reversal of 42088 is 88024.

42088 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 10404 = 178^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (42083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2623 + ... + 2638.

2⁴²⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

42088 is a deficient number, since it is larger than the sum of its proper divisors (36842).

42088 is a wasteful number, since it uses less digits than its factorization.

42088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 42088 is about 205.1536009920. The cubic root of 42088 is about 34.7845265247.

The spelling of 42088 in words is "forty-two thousand, eighty-eight".