54261 has 6 divisors (see below), whose sum is σ = 78390. Its totient is φ = 36168.

The previous prime is 54251. The next prime is 54269. The reversal of 54261 is 16245.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 900 = 231^2 + 30^2 .

It is not a de Polignac number, because 54261 - 2⁷ = 54133 is a prime.

It is a super-2 number, since 2×54261² = 5888512242, which contains 22 as substring.

It is a plaindrome in base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3006 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (13065).

2⁵⁴²⁶¹ is an apocalyptic number.

It is an amenable number.

54261 is a deficient number, since it is larger than the sum of its proper divisors (24129).

54261 is a wasteful number, since it uses less digits than its factorization.

54261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035 (or 6032 counting only the distinct ones).

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

The square root of 54261 is about 232.9399064136. The cubic root of 54261 is about 37.8584298330.

The spelling of 54261 in words is "fifty-four thousand, two hundred sixty-one".