42704 has 20 divisors (see below), whose sum is σ = 88164. Its totient is φ = 19968.

The previous prime is 42703. The next prime is 42709. The reversal of 42704 is 40724.

42704 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 19600 = 152^2 + 140^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 42704.

It is not an unprimeable number, because it can be changed into a prime (42701) 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 3 ways as a sum of consecutive naturals, for example, 194 + ... + 350.

2⁴²⁷⁰⁴ 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 42704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44082).

42704 is an abundant number, since it is smaller than the sum of its proper divisors (45460).

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

42704 is a wasteful number, since it uses less digits than its factorization.

42704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 42704 is about 206.6494616494. The cubic root of 42704 is about 34.9534073904.

It can be divided in two parts, 4 and 2704, that multiplied together give a square (10816 = 104²).

The spelling of 42704 in words is "forty-two thousand, seven hundred four", and thus it is an iban number.