42016 has 24 divisors (see below), whose sum is σ = 89964. Its totient is φ = 19200.

The previous prime is 42013. The next prime is 42017. The reversal of 42016 is 61024.

42016 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 400 = 204^2 + 20^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 41987 and 42005.

It is not an unprimeable number, because it can be changed into a prime (42013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 366 + ... + 466.

2⁴²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44982).

42016 is an abundant number, since it is smaller than the sum of its proper divisors (47948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42016 is a wasteful number, since it uses less digits than its factorization.

42016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42016 is about 204.9780476051. The cubic root of 42016 is about 34.7646798906.

The spelling of 42016 in words is "forty-two thousand, sixteen".