54756 has 45 divisors (see below), whose sum is σ = 155001. Its totient is φ = 16848.

The previous prime is 54751. The next prime is 54767. The reversal of 54756 is 65745.

54756 = T₂₃₃ + T₂₃₄.

The square root of 54756 is 234.

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

It can be written as a sum of positive squares in only one way, i.e., 8100 + 46656 = 90^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4200) is a multiple of the sum of its prime factors (42).

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (54751) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4206 + ... + 4218.

2⁵⁴⁷⁵⁶ is an apocalyptic number.

54756 is the 234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54756

54756 is an abundant number, since it is smaller than the sum of its proper divisors (100245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54756 is a wasteful number, since it uses less digits than its factorization.

54756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 18 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The cubic root of 54756 is about 37.9732036385.

It can be divided in two parts, 5 and 4756, that added together give a square (4761 = 69²).

The spelling of 54756 in words is "fifty-four thousand, seven hundred fifty-six".