541764 has 36 divisors (see below), whose sum is σ = 1392300. Its totient is φ = 177600.

The previous prime is 541763. The next prime is 541771. The reversal of 541764 is 467145.

541764 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 230400 = 558^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541764.

It is not an unprimeable number, because it can be changed into a prime (541763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3562 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (38675).

2⁵⁴¹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

541764 is an abundant number, since it is smaller than the sum of its proper divisors (850536).

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

541764 is a wasteful number, since it uses less digits than its factorization.

541764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 541764 is about 736.0461942025. The cubic root of 541764 is about 81.5211030953.

The spelling of 541764 in words is "five hundred forty-one thousand, seven hundred sixty-four".