34995 has 8 divisors (see below), whose sum is σ = 56016. Its totient is φ = 18656.

The previous prime is 34981. The next prime is 35023. The reversal of 34995 is 59943.

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 34995 - 2⁵ = 34963 is a prime.

34995 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 34995.

It is an unprimeable number.

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, 1152 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (7002).

2³⁴⁹⁹⁵ is an apocalyptic number.

34995 is a deficient number, since it is larger than the sum of its proper divisors (21021).

34995 is a wasteful number, since it uses less digits than its factorization.

34995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341.

The product of its digits is 4860, while the sum is 30.

The square root of 34995 is about 187.0695057993. The cubic root of 34995 is about 32.7091053771.

Subtracting from 34995 its product of digits (4860), we obtain a triangular number (30135 = T₂₄₅).

It can be divided in two parts, 349 and 95, that added together give a palindrome (444).

The spelling of 34995 in words is "thirty-four thousand, nine hundred ninety-five".