42673 has 4 divisors (see below), whose sum is σ = 43120. Its totient is φ = 42228.

The previous prime is 42667. The next prime is 42677. The reversal of 42673 is 37624.

42673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 42673 - 2⁵ = 42641 is a prime.

It is a super-4 number, since 4×42673⁴ = 13263944446580540164, which contains 4444 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42673.

It is not an unprimeable number, because it can be changed into a prime (42677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15 + ... + 292.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2⁴²⁶⁷³ is an apocalyptic number.

It is an amenable number.

42673 is a deficient number, since it is larger than the sum of its proper divisors (447).

42673 is a wasteful number, since it uses less digits than its factorization.

42673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446.

The product of its digits is 1008, while the sum is 22.

The square root of 42673 is about 206.5744417879. The cubic root of 42673 is about 34.9449474652.

Adding to 42673 its product of digits (1008), we get a square (43681 = 209²).

The spelling of 42673 in words is "forty-two thousand, six hundred seventy-three".