5754 has 16 divisors (see below), whose sum is σ = 13248. Its totient is φ = 1632.

The previous prime is 5749. The next prime is 5779. The reversal of 5754 is 4575.

5754 = T₃₇ + T₃₈ + ... + T₄₃.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 5754.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (828).

2⁵⁷⁵⁴ is an apocalyptic number.

5754 is an abundant number, since it is smaller than the sum of its proper divisors (7494).

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 (6624).

5754 is a wasteful number, since it uses less digits than its factorization.

5754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149.

The product of its digits is 700, while the sum is 21.

The square root of 5754 is about 75.8551250741. The cubic root of 5754 is about 17.9193926505.

Adding to 5754 its sum of digits (21), we get a palindrome (5775).

It can be divided in two parts, 57 and 54, that added together give a palindrome (111).

The spelling of 5754 in words is "five thousand, seven hundred fifty-four".