54351 has 20 divisors (see below), whose sum is σ = 90024. Its totient is φ = 32400.

The previous prime is 54347. The next prime is 54361. The reversal of 54351 is 15345.

Added to its reverse (15345) it gives a square (69696 = 264²).

It is not a de Polignac number, because 54351 - 2² = 54347 is a prime.

It is an Ulam number.

Its product of digits (300) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 861 + ... + 921.

2⁵⁴³⁵¹ is an apocalyptic number.

54351 is a deficient number, since it is larger than the sum of its proper divisors (35673).

54351 is a wasteful number, since it uses less digits than its factorization.

54351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 54351 is about 233.1330092458. The cubic root of 54351 is about 37.8793495642.

Adding to 54351 its reverse (15345), we get a palindrome (69696).

It can be divided in two parts, 5 and 4351, that added together give a square (4356 = 66²).

The spelling of 54351 in words is "fifty-four thousand, three hundred fifty-one".