42128 has 10 divisors (see below), whose sum is σ = 81654. Its totient is φ = 21056.

The previous prime is 42101. The next prime is 42131. The reversal of 42128 is 82124.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 12544 = 172^2 + 112^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1301 + ... + 1332.

2⁴²¹²⁸ is an apocalyptic number.

It is an amenable number.

42128 is a deficient number, since it is larger than the sum of its proper divisors (39526).

42128 is a wasteful number, since it uses less digits than its factorization.

42128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2635 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 42128 is about 205.2510657707. The cubic root of 42128 is about 34.7955426537.

The spelling of 42128 in words is "forty-two thousand, one hundred twenty-eight".