42570 has 48 divisors (see below), whose sum is σ = 123552. Its totient is φ = 10080.

The previous prime is 42569. The next prime is 42571. The reversal of 42570 is 7524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42569) and next prime (42571).

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42571) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 969 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (2574).

2⁴²⁵⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61776).

42570 is an abundant number, since it is smaller than the sum of its proper divisors (80982).

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

42570 is a wasteful number, since it uses less digits than its factorization.

42570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 42570 is about 206.3249863686. The cubic root of 42570 is about 34.9168092250.

The spelling of 42570 in words is "forty-two thousand, five hundred seventy".