33842 has 4 divisors (see below), whose sum is σ = 50766. Its totient is φ = 16920.

The previous prime is 33829. The next prime is 33851. The reversal of 33842 is 24833.

Subtracting from 33842 its reverse (24833), we obtain a palindrome (9009).

It can be divided in two parts, 338 and 42, that multiplied together give a triangular number (14196 = T_{168}).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 24833 = 19 ⋅1307.

It can be written as a sum of positive squares in only one way, i.e., 25921 + 7921 = 161^2 + 89^2 .

It is a super-2 number, since 2×33842^{2} = 2290561928, which contains 22 as substring.

It is a d-powerful number, because it can be written as **3**^{4} + **3**^{6} + **8** + **4**^{4} + **2**^{15} .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8459 + ... + 8462.

2^{33842} is an apocalyptic number.

33842 is a deficient number, since it is larger than the sum of its proper divisors (16924).

33842 is a wasteful number, since it uses less digits than its factorization.

33842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16923.

The product of its digits is 576, while the sum is 20.

The square root of 33842 is about 183.9619525880. The cubic root of 33842 is about 32.3458578562.

The spelling of 33842 in words is "thirty-three thousand, eight hundred forty-two".

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