42813 has 12 divisors (see below), whose sum is σ = 63648. Its totient is φ = 27720.

The previous prime is 42797. The next prime is 42821. The reversal of 42813 is 31824.

It is a happy number.

It is not a de Polignac number, because 42813 - 2⁴ = 42797 is a prime.

It is a Curzon number.

42813 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42853) 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, 568 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (5304).

2⁴²⁸¹³ is an apocalyptic number.

It is an amenable number.

42813 is a deficient number, since it is larger than the sum of its proper divisors (20835).

42813 is a wasteful number, since it uses less digits than its factorization.

42813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 42813 is about 206.9130252062. The cubic root of 42813 is about 34.9831211131.

It can be divided in two parts, 428 and 13, that added together give a square (441 = 21²).

The spelling of 42813 in words is "forty-two thousand, eight hundred thirteen".