36342 has 16 divisors (see below), whose sum is σ = 80880. Its totient is φ = 12096.

The previous prime is 36341. The next prime is 36343. The reversal of 36342 is 24363.

It is an interprime number because it is at equal distance from previous prime (36341) and next prime (36343).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3³ + 6³ + 3⁹ + 4⁷ + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36341) 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, 283 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (5055).

2³⁶³⁴² is an apocalyptic number.

36342 is an abundant number, since it is smaller than the sum of its proper divisors (44538).

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 (40440).

36342 is a wasteful number, since it uses less digits than its factorization.

36342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 36342 is about 190.6357783838. The cubic root of 36342 is about 33.1235041451.

It can be divided in two parts, 36 and 342, that added together give a triangular number (378 = T₂₇).

The spelling of 36342 in words is "thirty-six thousand, three hundred forty-two".