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33823 = 149227
BaseRepresentation
bin1000010000011111
31201101201
420100133
52040243
6420331
7200416
oct102037
951351
1033823
1123459
12176a7
131251a
14c47d
15a04d
hex841f

33823 has 4 divisors (see below), whose sum is σ = 34200. Its totient is φ = 33448.

The previous prime is 33811. The next prime is 33827. The reversal of 33823 is 32833.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 33823 - 25 = 33791 is a prime.

It is a super-2 number, since 2×338232 = 2287990658, which contains 22 as substring.

It is a d-powerful number, because it can be written as 34 + 35 + 85 + 2 + 36 .

It is a Duffinian number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 33823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33827) 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 3 ways as a sum of consecutive naturals, for example, 36 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

233823 is an apocalyptic number.

33823 is a deficient number, since it is larger than the sum of its proper divisors (377).

33823 is a wasteful number, since it uses less digits than its factorization.

33823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376.

The product of its digits is 432, while the sum is 19.

The square root of 33823 is about 183.9103042246. The cubic root of 33823 is about 32.3398033840.

Subtracting from 33823 its reverse (32833), we obtain a triangular number (990 = T44).

It can be divided in two parts, 338 and 23, that added together give a square (361 = 192).

The spelling of 33823 in words is "thirty-three thousand, eight hundred twenty-three".

Divisors: 1 149 227 33823