542754 has 48 divisors (see below), whose sum is σ = 1327200. Its totient is φ = 163944.

The previous prime is 542747. The next prime is 542761. The reversal of 542754 is 457245.

It is an interprime number because it is at equal distance from previous prime (542747) and next prime (542761).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

542754 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 (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23587 + ... + 23609.

It is an arithmetic number, because the mean of its divisors is an integer number (27650).

2⁵⁴²⁷⁵⁴ is an apocalyptic number.

542754 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663600).

542754 is an abundant number, since it is smaller than the sum of its proper divisors (784446).

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

542754 is a wasteful number, since it uses less digits than its factorization.

542754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 542754 is about 736.7183993902. The cubic root of 542754 is about 81.5707291208.

542754 divided by its sum of digits (27) gives a palindrome (20102).

Adding to 542754 its reverse (457245), we get a palindrome (999999).

It can be divided in two parts, 542 and 754, that added together give a 4-th power (1296 = 6⁴).

The spelling of 542754 in words is "five hundred forty-two thousand, seven hundred fifty-four".