35736 has 16 divisors (see below), whose sum is σ = 89400. Its totient is φ = 11904.

The previous prime is 35731. The next prime is 35747. The reversal of 35736 is 63753.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1489 = 35736 / (3 + 5 + 7 + 3 + 6).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 721 + ... + 768.

2³⁵⁷³⁶ is an apocalyptic number.

It is an amenable number.

35736 is an abundant number, since it is smaller than the sum of its proper divisors (53664).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44700).

35736 is a wasteful number, since it uses less digits than its factorization.

35736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its digits is 1890, while the sum is 24.

The square root of 35736 is about 189.0396783747. The cubic root of 35736 is about 32.9383606036.

It can be divided in two parts, 357 and 36, that added together give a palindrome (393).

The spelling of 35736 in words is "thirty-five thousand, seven hundred thirty-six".