735 has 12 divisors (see below), whose sum is σ = 1368. Its totient is φ = 336.

The previous prime is 733. The next prime is 739. The reversal of 735 is 537.

735 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 735 - 2^{1} = 733 is a prime.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (105) is a multiple of the sum of its prime divisors (15).

735 is a lucky number.

It is a plaindrome in base 8, base 13 and base 16.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (114).

735 is a deficient number, since it is larger than the sum of its proper divisors (633).

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

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

The sum of its prime factors is 22 (or 15 counting only the distinct ones).

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

The square root of 735 is about 27.1108834235. The cubic root of 735 is about 9.0246239257.

Multiplying 735 by its sum of digits (15), we get a square (11025 = 105^{2}).

735 divided by its sum of digits (15) gives a square (49 = 7^{2}).

Subtracting from 735 its product of digits (105), we obtain a triangular number (630 = T_{35}).

It can be divided in two parts, 73 and 5, that added together give a triangular number (78 = T_{12}).

The spelling of 735 in words is "seven hundred thirty-five", and thus it is an aban number and an oban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.111 sec. • engine limits •