42930 has 40 divisors (see below), whose sum is σ = 117612. Its totient is φ = 11232.

The previous prime is 42929. The next prime is 42937. The reversal of 42930 is 3924.

It can be written as a sum of positive squares in 2 ways, for example, as 42849 + 81 = 207^2 + 9^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42930.

It is not an unprimeable number, because it can be changed into a prime (42937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 784 + ... + 836.

2⁴²⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806).

42930 is an abundant number, since it is smaller than the sum of its proper divisors (74682).

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

42930 is a wasteful number, since it uses less digits than its factorization.

42930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 42930 is about 207.1955597980. The cubic root of 42930 is about 35.0149595915.

It can be divided in two parts, 42 and 930, that multiplied together give a triangular number (39060 = T₂₇₉).

The spelling of 42930 in words is "forty-two thousand, nine hundred thirty".