54642 has 16 divisors (see below), whose sum is σ = 124992. Its totient is φ = 15600.

The previous prime is 54631. The next prime is 54647. The reversal of 54642 is 24645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 546 and 42 contains 54642 itself.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54647) by changing a digit.

54642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

54642 is a Friedman number, since it can be written as 42*(6^4+5), using all its digits and the basic arithmetic operations.

2⁵⁴⁶⁴² is an apocalyptic number.

54642 is an abundant number, since it is smaller than the sum of its proper divisors (70350).

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 (62496).

54642 is a wasteful number, since it uses less digits than its factorization.

54642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313.

The product of its digits is 960, while the sum is 21.

The square root of 54642 is about 233.7562833380. The cubic root of 54642 is about 37.9468323859.

It can be divided in two parts, 54 and 642, that added together give a palindrome (696).

The spelling of 54642 in words is "fifty-four thousand, six hundred forty-two".