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33427 is a prime number
BaseRepresentation
bin1000001010010011
31200212001
420022103
52032202
6414431
7166312
oct101223
950761
1033427
1123129
1217417
13122a4
14c279
159d87
hex8293

33427 has 2 divisors, whose sum is σ = 33428. Its totient is φ = 33426.

The previous prime is 33413. The next prime is 33457. The reversal of 33427 is 72433.

Subtracting from 33427 its product of digits (504), we obtain a palindrome (32923).

It can be divided in two parts, 334 and 27, that added together give a square (361 = 192).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 33427 - 211 = 31379 is a prime.

It is a super-2 number, since 2×334272 = 2234728658, which contains 22 as substring.

It is a d-powerful number, because it can be written as 32 + 35 + 43 + 215 + 73 .

It is not a weakly prime, because it can be changed into another prime (33457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16713 + 16714.

It is an arithmetic number, because the mean of its divisors is an integer number (16714).

233427 is an apocalyptic number.

33427 is a deficient number, since it is larger than the sum of its proper divisors (1).

33427 is an equidigital number, since it uses as much as digits as its factorization.

33427 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 19.

The square root of 33427 is about 182.8305226159. The cubic root of 33427 is about 32.2130960194.

The spelling of 33427 in words is "thirty-three thousand, four hundred twenty-seven".