541952 has 36 divisors (see below), whose sum is σ = 1134420. Its totient is φ = 258048.

The previous prime is 541951. The next prime is 541967. The reversal of 541952 is 259145.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 246016 = 544^2 + 496^2 .

It is a super-3 number, since 3×541952³ = 477533369190580224, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7388 + ... + 7460.

2⁵⁴¹⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567210).

541952 is an abundant number, since it is smaller than the sum of its proper divisors (592468).

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

541952 is an equidigital number, since it uses as much as digits as its factorization.

541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its digits is 1800, while the sum is 26.

The square root of 541952 is about 736.1738925009. The cubic root of 541952 is about 81.5305316749.

The spelling of 541952 in words is "five hundred forty-one thousand, nine hundred fifty-two".