35746 has 8 divisors (see below), whose sum is σ = 54684. Its totient is φ = 17520.

The previous prime is 35731. The next prime is 35747. The reversal of 35746 is 64753.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 25 = 189^2 + 5^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 35746.

It is not an unprimeable number, because it can be changed into a prime (35747) 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, 25 + ... + 268.

2³⁵⁷⁴⁶ is an apocalyptic number.

35746 is a deficient number, since it is larger than the sum of its proper divisors (18938).

35746 is a wasteful number, since it uses less digits than its factorization.

35746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356.

The product of its digits is 2520, while the sum is 25.

The square root of 35746 is about 189.0661259983. The cubic root of 35746 is about 32.9414326961.

Subtracting from 35746 its sum of digits (25), we obtain a square (35721 = 189²).

The spelling of 35746 in words is "thirty-five thousand, seven hundred forty-six".