Search a number
9642 = 231607

9642 has 8 divisors (see below), whose sum is σ = 19296. Its totient is φ = 3212.

The previous prime is 9631. The next prime is 9643. The reversal of 9642 is 2469.

It can be divided in two parts, 9 and 642, that multiplied together give a triangular number (5778 = T107).

9642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

9642 is an admirable number.

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 10.

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 9642.

It is not an unprimeable number, because it can be changed into a prime (9643) by changing a digit.

9642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 798 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (2412).

29642 is an apocalyptic number.

9642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (9648).

9642 is a wasteful number, since it uses less digits than its factorization.

9642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612.

The product of its digits is 432, while the sum is 21.

The square root of 9642 is about 98.1936861514. The cubic root of 9642 is about 21.2841205016.

The spelling of 9642 in words is "nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 1607 3214 4821 9642