541314 has 48 divisors (see below), whose sum is σ = 1305720. Its totient is φ = 161280.

The previous prime is 541309. The next prime is 541339. The reversal of 541314 is 413145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 400689 + 140625 = 633^2 + 375^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable 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, 8844 + ... + 8904.

2⁵⁴¹³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652860).

541314 is an abundant number, since it is smaller than the sum of its proper divisors (764406).

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

541314 is a wasteful number, since it uses less digits than its factorization.

541314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 541314 is about 735.7404433630. The cubic root of 541314 is about 81.4985258243.

Adding to 541314 its reverse (413145), we get a palindrome (954459).

The spelling of 541314 in words is "five hundred forty-one thousand, three hundred fourteen".