42924 has 36 divisors (see below), whose sum is σ = 118104. Its totient is φ = 12096.

The previous prime is 42923. The next prime is 42929.

42924 = 2² + 3² + ... + 50².

42924 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 42924.

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 42924.

It is not an unprimeable number, because it can be changed into a prime (42923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 624.

2⁴²⁹²⁴ 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 42924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59052).

42924 is an abundant number, since it is smaller than the sum of its proper divisors (75180).

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

42924 is a wasteful number, since it uses less digits than its factorization.

42924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 42924 is about 207.1810802173. The cubic root of 42924 is about 35.0133282572.

It can be divided in two parts, 429 and 24, that multiplied together give a triangular number (10296 = T₁₄₃).

The spelling of 42924 in words is "forty-two thousand, nine hundred twenty-four".