42912 has 36 divisors (see below), whose sum is σ = 122850. Its totient is φ = 14208.

The previous prime is 42901. The next prime is 42923. The reversal of 42912 is 21924.

42912 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (42901) and next prime (42923).

It can be written as a sum of positive squares in only one way, i.e., 41616 + 1296 = 204^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 13.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 214 + ... + 362.

2⁴²⁹¹² 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 42912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61425).

42912 is an abundant number, since it is smaller than the sum of its proper divisors (79938).

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

42912 is a wasteful number, since it uses less digits than its factorization.

42912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 42912 is about 207.1521180196. The cubic root of 42912 is about 35.0100651325.

It can be divided in two parts, 429 and 12, that added together give a square (441 = 21²).

The spelling of 42912 in words is "forty-two thousand, nine hundred twelve".