54355041 has 24 divisors (see below), whose sum is σ = 84802536. Its totient is φ = 33350400.

The previous prime is 54355033. The next prime is 54355061. The reversal of 54355041 is 14055345.

54355041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 772641 + 53582400 = 879^2 + 7320^2 .

It is not a de Polignac number, because 54355041 - 2³ = 54355033 is a prime.

It is a super-2 number, since 2×54355041² = 5908940964223362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54354996 and 54355014.

It is not an unprimeable number, because it can be changed into a prime (54355031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69931 + ... + 70703.

It is an arithmetic number, because the mean of its divisors is an integer number (3533439).

Almost surely, 2^54355041 is an apocalyptic number.

It is an amenable number.

54355041 is a deficient number, since it is larger than the sum of its proper divisors (30447495).

54355041 is a wasteful number, since it uses less digits than its factorization.

54355041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 54355041 is about 7372.5871307161. The cubic root of 54355041 is about 378.8028831821.

The spelling of 54355041 in words is "fifty-four million, three hundred fifty-five thousand, forty-one".