54289 has 3 divisors (see below), whose sum is σ = 54523. Its totient is φ = 54056.

The previous prime is 54287. The next prime is 54293. The reversal of 54289 is 98245.

54289 = T₂₃₂ + T₂₃₃.

It is a happy number.

The square root of 54289 is 233.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 43264 = 105^2 + 208^2 .

It is not a de Polignac number, because 54289 - 2¹ = 54287 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54287) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 117 + ... + 349.

2⁵⁴²⁸⁹ is an apocalyptic number.

54289 is the 233-rd square number.

54289 is the 117-th centered octagonal number.

It is an amenable number.

54289 is a deficient number, since it is larger than the sum of its proper divisors (234).

54289 is an frugal number, since it uses more digits than its factorization.

54289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 233 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The cubic root of 54289 is about 37.8649406711.

Subtracting 54289 from its reverse (98245), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 54 and 289, that added together give a palindrome (343).

The spelling of 54289 in words is "fifty-four thousand, two hundred eighty-nine".