35355 has 8 divisors (see below), whose sum is σ = 56592. Its totient is φ = 18848.

The previous prime is 35353. The next prime is 35363. The reversal of 35355 is 55353.

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

It is a cyclic number.

It is not a de Polignac number, because 35355 - 2¹ = 35353 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35355.

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, 1164 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (7074).

2³⁵³⁵⁵ is an apocalyptic number.

35355 is a deficient number, since it is larger than the sum of its proper divisors (21237).

35355 is a wasteful number, since it uses less digits than its factorization.

35355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365.

The product of its digits is 1125, while the sum is 21.

The square root of 35355 is about 188.0292530432. The cubic root of 35355 is about 32.8208844787.

The spelling of 35355 in words is "thirty-five thousand, three hundred fifty-five".