738 has 12 divisors (see below), whose sum is σ = 1638. Its totient is φ = 240.

The previous prime is 733. The next prime is 739. The reversal of 738 is 837.

738 is nontrivially palindromic in base 15 and base 16.

738 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

738 is an esthetic number in base 9 and base 15, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 729 + 9 = 27^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 41 = 738 / (7 + 3 + 8).

738 is an undulating number in base 9, base 15 and base 16.

738 is strictly pandigital in base 5.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 738.

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

738 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 5 ways as a sum of consecutive naturals, for example, 3 + ... + 38.

738 is an abundant number, since it is smaller than the sum of its proper divisors (900).

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

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

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

The sum of its prime factors is 49 (or 46 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 738 is about 27.1661554144. The cubic root of 738 is about 9.0368856581.

Subtracting 738 from its reverse (837), we obtain a palindrome (99).

It can be divided in two parts, 73 and 8, that added together give a 4-th power (81 = 3^{4}).

The spelling of 738 in words is "seven hundred thirty-eight", and thus it is an aban number and an oban number.

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