1736 has 16 divisors (see below), whose sum is σ = 3840. Its totient is φ = 720.

The previous prime is 1733. The next prime is 1741. The reversal of 1736 is 6371.

1736 = T₆ + T₇ + ... + T₂₁.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 9, base 11 and base 15.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1733) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41 + ... + 71.

It is an arithmetic number, because the mean of its divisors is an integer number (240).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920).

1736 is an abundant number, since it is smaller than the sum of its proper divisors (2104).

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

1736 is a wasteful number, since it uses less digits than its factorization.

1736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 40 counting only the distinct ones).

The product of its digits is 126, while the sum is 17.

The square root of 1736 is about 41.6653333120. The cubic root of 1736 is about 12.0184900138.

It can be divided in two parts, 1 and 736, that added together give a palindrome (737).

The spelling of 1736 in words is "one thousand, seven hundred thirty-six".