54762 has 8 divisors (see below), whose sum is σ = 109536. Its totient is φ = 18252.

The previous prime is 54751. The next prime is 54767. The reversal of 54762 is 26745.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

54762 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54762.

It is not an unprimeable number, because it can be changed into a prime (54767) by changing a digit.

54762 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4558 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (13692).

2⁵⁴⁷⁶² is an apocalyptic number.

54762 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54768).

54762 is a wasteful number, since it uses less digits than its factorization.

54762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9132.

The product of its digits is 1680, while the sum is 24.

The square root of 54762 is about 234.0128201616. The cubic root of 54762 is about 37.9745905849.

The spelling of 54762 in words is "fifty-four thousand, seven hundred sixty-two".