42612 has 24 divisors (see below), whose sum is σ = 102816. Its totient is φ = 13728.

The previous prime is 42611. The next prime is 42641. The reversal of 42612 is 21624.

42612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 42591 and 42600.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42612.

It is not an unprimeable number, because it can be changed into a prime (42611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

2⁴²⁶¹² is an apocalyptic number.

It is an amenable number.

42612 is an abundant number, since it is smaller than the sum of its proper divisors (60204).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408).

42612 is a wasteful number, since it uses less digits than its factorization.

42612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 42612 is about 206.4267424536. The cubic root of 42612 is about 34.9282885450.

The spelling of 42612 in words is "forty-two thousand, six hundred twelve".