33495 has 32 divisors (see below), whose sum is σ = 69120. Its totient is φ = 13440.

The previous prime is 33493. The next prime is 33503. The reversal of 33495 is 59433.

It can be divided in two parts, 33 and 495, that added together give a triangular number (528 = T_{32}).

33495 = 28^{2} + 29^{2} + ... + 49^{2}.

33495 is digitally balanced in base 2, base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33495 - 2^{1} = 33493 is a prime.

It is a super-2 number, since 2×33495^{2} = 2243830050, which contains 22 as substring.

33495 is strictly pandigital in base 6.

33495 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

33495 is a Friedman number, since it can be written as 33*(4^5-9), using all its digits and the basic arithmetic operations.

2^{33495} is an apocalyptic number.

33495 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

33495 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

33495 is a wasteful number, since it uses less digits than its factorization.

33495 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55.

The product of its digits is 1620, while the sum is 24.

The square root of 33495 is about 183.0163927084. The cubic root of 33495 is about 32.2349247491.

The spelling of 33495 in words is "thirty-three thousand, four hundred ninety-five".

Divisors: 1 3 5 7 11 15 21 29 33 35 55 77 87 105 145 165 203 231 319 385 435 609 957 1015 1155 1595 2233 3045 4785 6699 11165 33495

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