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33923 is a prime number
BaseRepresentation
bin1000010010000011
31201112102
420102003
52041143
6421015
7200621
oct102203
951472
1033923
112353a
121776b
1312596
14c511
15a0b8
hex8483

33923 has 2 divisors, whose sum is σ = 33924. Its totient is φ = 33922.

The previous prime is 33911. The next prime is 33931. The reversal of 33923 is 32933.

It is a strong prime.

It is an emirp because it is prime and its reverse (32933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33923 - 214 = 17539 is a prime.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 33895 and 33904.

It is not a weakly prime, because it can be changed into another prime (33023) by changing a digit.

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, 16961 + 16962.

It is an arithmetic number, because the mean of its divisors is an integer number (16962).

233923 is an apocalyptic number.

33923 is a deficient number, since it is larger than the sum of its proper divisors (1).

33923 is an equidigital number, since it uses as much as digits as its factorization.

33923 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 20.

The square root of 33923 is about 184.1819752310. The cubic root of 33923 is about 32.3716436347.

Subtracting from 33923 its reverse (32933), we obtain a triangular number (990 = T44).

The spelling of 33923 in words is "thirty-three thousand, nine hundred twenty-three".