5735 has 8 divisors (see below), whose sum is σ = 7296. Its totient is φ = 4320.

The previous prime is 5717. The next prime is 5737. The reversal of 5735 is 5375.

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

It is not a de Polignac number, because 5735 - 2⁸ = 5479 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 9.

It is a congruent number.

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

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (912).

5735 is the 62-nd pentagonal number.

5735 is a deficient number, since it is larger than the sum of its proper divisors (1561).

5735 is a wasteful number, since it uses less digits than its factorization.

5735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73.

The product of its digits is 525, while the sum is 20.

The square root of 5735 is about 75.7297827806. The cubic root of 5735 is about 17.8996473199.

The spelling of 5735 in words is "five thousand, seven hundred thirty-five".