39342 has 16 divisors (see below), whose sum is σ = 80640. Its totient is φ = 12792.

The previous prime is 39341. The next prime is 39343. The reversal of 39342 is 24393.

It is an interprime number because it is at equal distance from previous prime (39341) and next prime (39343).

It is a plaindrome in base 16.

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 39342.

It is not an unprimeable number, because it can be changed into a prime (39341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

39342 is a Friedman number, since it can be written as (3^9-4*3)*2, using all its digits and the basic arithmetic operations.

2³⁹³⁴² is an apocalyptic number.

39342 is an abundant number, since it is smaller than the sum of its proper divisors (41298).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

39342 is a wasteful number, since it uses less digits than its factorization.

39342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its digits is 648, while the sum is 21.

The square root of 39342 is about 198.3481787161. The cubic root of 39342 is about 34.0109537947.

It can be divided in two parts, 393 and 42, that added together give a triangular number (435 = T₂₉).

The spelling of 39342 in words is "thirty-nine thousand, three hundred forty-two".