33995 has 8 divisors (see below), whose sum is σ = 44016. Its totient is φ = 25056.

The previous prime is 33967. The next prime is 33997. The reversal of 33995 is 59933.

33995 = 45² + 46² + ... + 57².

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 33995 - 2⁶ = 33931 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33997) 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, 197 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (5502).

2³³⁹⁹⁵ is an apocalyptic number.

33995 is a deficient number, since it is larger than the sum of its proper divisors (10021).

33995 is a wasteful number, since it uses less digits than its factorization.

33995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541.

The product of its digits is 3645, while the sum is 29.

The square root of 33995 is about 184.3773304937. The cubic root of 33995 is about 32.3945298899.

It can be divided in two parts, 339 and 95, that added together give a palindrome (434).

The spelling of 33995 in words is "thirty-three thousand, nine hundred ninety-five".