442013 has 12 divisors (see below), whose sum is σ = 525084. Its totient is φ = 369600.

The previous prime is 442009. The next prime is 442019. The reversal of 442013 is 310244.

It can be written as a sum of positive squares in 2 ways, for example, as 174724 + 267289 = 418^2 + 517^2 .

It is not a de Polignac number, because 442013 - 2² = 442009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1433 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (43757).

2⁴⁴²⁰¹³ is an apocalyptic number.

It is an amenable number.

442013 is a deficient number, since it is larger than the sum of its proper divisors (83071).

442013 is a wasteful number, since it uses less digits than its factorization.

442013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 442013 is about 664.8405823955. The cubic root of 442013 is about 76.1748628287.

Adding to 442013 its reverse (310244), we get a palindrome (752257).

Subtracting from 442013 its reverse (310244), we obtain a square (131769 = 363²).

The spelling of 442013 in words is "four hundred forty-two thousand, thirteen".