735738 has 16 divisors (see below), whose sum is σ = 1503360. Its totient is φ = 239936.

The previous prime is 735733. The next prime is 735739. The reversal of 735738 is 837537.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 735699 and 735708.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 735738.

It is not an unprimeable number, because it can be changed into a prime (735731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (93960).

2⁷³⁵⁷³⁸ is an apocalyptic number.

735738 is an abundant number, since it is smaller than the sum of its proper divisors (767622).

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

735738 is a wasteful number, since it uses less digits than its factorization.

735738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661.

The product of its digits is 17640, while the sum is 33.

The square root of 735738 is about 857.7517123271. The cubic root of 735738 is about 90.2764340173.

Adding to 735738 its product of digits (17640), we get a triangular number (753378 = T₁₂₂₇).

The spelling of 735738 in words is "seven hundred thirty-five thousand, seven hundred thirty-eight".