35358 has 16 divisors (see below), whose sum is σ = 72576. Its totient is φ = 11480.

The previous prime is 35353. The next prime is 35363. The reversal of 35358 is 85353.

It is an interprime number because it is at equal distance from previous prime (35353) and next prime (35363).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 3 + 5⁶ + 3² + 5⁶ + 8⁴ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35353) 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 7 ways as a sum of consecutive naturals, for example, 385 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2³⁵³⁵⁸ is an apocalyptic number.

35358 is an abundant number, since it is smaller than the sum of its proper divisors (37218).

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 (36288).

35358 is a wasteful number, since it uses less digits than its factorization.

35358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159.

The product of its digits is 1800, while the sum is 24.

The square root of 35358 is about 188.0372303561. The cubic root of 35358 is about 32.8218127761.

It can be divided in two parts, 35 and 358, that added together give a palindrome (393).

The spelling of 35358 in words is "thirty-five thousand, three hundred fifty-eight".