5730 has 16 divisors (see below), whose sum is σ = 13824. Its totient is φ = 1520.

The previous prime is 5717. The next prime is 5737. The reversal of 5730 is 375.

Added to its reverse (375) it gives a triangular number (6105 = T₁₁₀).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5730.

It is not an unprimeable number, because it can be changed into a prime (5737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

2⁵⁷³⁰ is an apocalyptic number.

5730 is an abundant number, since it is smaller than the sum of its proper divisors (8094).

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 (6912).

5730 is a wasteful number, since it uses less digits than its factorization.

5730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 5730 is about 75.6967634711. The cubic root of 5730 is about 17.8944439338.

Subtracting from 5730 its product of nonzero digits (105), we obtain a square (5625 = 75²).

Adding to 5730 its reverse (375), we get a triangular number (6105 = T₁₁₀).

The spelling of 5730 in words is "five thousand, seven hundred thirty".