36642 has 16 divisors (see below), whose sum is σ = 76032. Its totient is φ = 11760.

The previous prime is 36637. The next prime is 36643. The reversal of 36642 is 24663.

36642 is an undulating number in base 14.

It is a plaindrome in base 15.

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 36642.

It is not an unprimeable number, because it can be changed into a prime (36643) 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 7 ways as a sum of consecutive naturals, for example, 88 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (4752).

2³⁶⁶⁴² is an apocalyptic number.

36642 is an abundant number, since it is smaller than the sum of its proper divisors (39390).

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 (38016).

36642 is a wasteful number, since it uses less digits than its factorization.

36642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 864, while the sum is 21.

The square root of 36642 is about 191.4210019825. The cubic root of 36642 is about 33.2143983611.

Adding to 36642 its sum of digits (21), we get a palindrome (36663).

Subtracting from 36642 its product of digits (864), we obtain a triangular number (35778 = T₂₆₇).

The spelling of 36642 in words is "thirty-six thousand, six hundred forty-two".