34755 has 16 divisors (see below), whose sum is σ = 63744. Its totient is φ = 15840.

The previous prime is 34747. The next prime is 34757. The reversal of 34755 is 55743.

34755 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34755 - 2³ = 34747 is a prime.

34755 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34755.

It is not an unprimeable number, because it can be changed into a prime (34757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (3984).

2³⁴⁷⁵⁵ is an apocalyptic number.

34755 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34755 is a deficient number, since it is larger than the sum of its proper divisors (28989).

34755 is a wasteful number, since it uses less digits than its factorization.

34755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346.

The product of its digits is 2100, while the sum is 24.

The square root of 34755 is about 186.4269293852. The cubic root of 34755 is about 32.6341594341.

The spelling of 34755 in words is "thirty-four thousand, seven hundred fifty-five".