35738 has 8 divisors (see below), whose sum is σ = 54432. Its totient is φ = 17596.

The previous prime is 35731. The next prime is 35747. The reversal of 35738 is 83753.

35738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 3⁶ + 5 + 7² + 3⁷ + 8⁵ .

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

35738 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2³⁵⁷³⁸ is an apocalyptic number.

35738 is a deficient number, since it is larger than the sum of its proper divisors (18694).

35738 is a wasteful number, since it uses less digits than its factorization.

35738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276.

The product of its digits is 2520, while the sum is 26.

The square root of 35738 is about 189.0449681954. The cubic root of 35738 is about 32.9389750680.

The spelling of 35738 in words is "thirty-five thousand, seven hundred thirty-eight".