35744 has 12 divisors (see below), whose sum is σ = 70434. Its totient is φ = 17856.

The previous prime is 35731. The next prime is 35747. The reversal of 35744 is 44753.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 400 = 188^2 + 20^2 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (35747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527 + ... + 590.

2³⁵⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

35744 is a deficient number, since it is larger than the sum of its proper divisors (34690).

35744 is a wasteful number, since it uses less digits than its factorization.

35744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 35744 is about 189.0608367695. The cubic root of 35744 is about 32.9408183234.

Subtracting from 35744 its sum of digits (23), we obtain a square (35721 = 189²).

Subtracting 35744 from its reverse (44753), we obtain a palindrome (9009).

The spelling of 35744 in words is "thirty-five thousand, seven hundred forty-four".