541953 has 6 divisors (see below), whose sum is σ = 782834. Its totient is φ = 361296.

The previous prime is 541951. The next prime is 541967. The reversal of 541953 is 359145.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 263169 = 528^2 + 513^2 .

It is not a de Polignac number, because 541953 - 2¹ = 541951 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541951) 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 5 ways as a sum of consecutive naturals, for example, 30100 + ... + 30117.

2⁵⁴¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

541953 is a deficient number, since it is larger than the sum of its proper divisors (240881).

541953 is a wasteful number, since it uses less digits than its factorization.

541953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60223 (or 60220 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 541953 is about 736.1745716880. The cubic root of 541953 is about 81.5305818211.

The spelling of 541953 in words is "five hundred forty-one thousand, nine hundred fifty-three".