35385 has 16 divisors (see below), whose sum is σ = 64896. Its totient is φ = 16128.

The previous prime is 35381. The next prime is 35393. The reversal of 35385 is 58353.

It is not a de Polignac number, because 35385 - 2² = 35381 is a prime.

It is an Ulam number.

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 35385.

It is not an unprimeable number, because it can be changed into a prime (35381) 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 15 ways as a sum of consecutive naturals, for example, 64 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (4056).

2³⁵³⁸⁵ is an apocalyptic number.

35385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35385 is a deficient number, since it is larger than the sum of its proper divisors (29511).

35385 is a wasteful number, since it uses less digits than its factorization.

35385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

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

The square root of 35385 is about 188.1090109484. The cubic root of 35385 is about 32.8301650912.

The spelling of 35385 in words is "thirty-five thousand, three hundred eighty-five".