5700 has 36 divisors (see below), whose sum is σ = 17360. Its totient is φ = 1440.

The previous prime is 5693. The next prime is 5701. The reversal of 5700 is 75.

5700 = T₃₁ + T₃₂ + ... + T₃₉.

5700 is nontrivially palindromic in base 7 and base 14.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 6 and base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5701) by changing a digit.

5700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291 + ... + 309.

5700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 75×76.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680).

5700 is an abundant number, since it is smaller than the sum of its proper divisors (11660).

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

5700 is a wasteful number, since it uses less digits than its factorization.

5700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 5700 is about 75.4983443527. The cubic root of 5700 is about 17.8631598771.

Subtracting from 5700 its product of nonzero digits (35), we obtain a palindrome (5665).

Adding to 5700 its reverse (75), we get a palindrome (5775).

Subtracting from 5700 its reverse (75), we obtain a square (5625 = 75²).

The spelling of 5700 in words is "five thousand, seven hundred".