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33992141 is a prime number
BaseRepresentation
bin1000000110101…
…0110111001101
32100221222110012
42001222313031
532200222031
63212323005
7561633311
oct201526715
970858405
1033992141
1118207887
12b473465
1370720c1
14472bb41
152eb6b2b
hex206adcd

33992141 has 2 divisors, whose sum is σ = 33992142. Its totient is φ = 33992140.

The previous prime is 33992099. The next prime is 33992171. The reversal of 33992141 is 14129933.

33992141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27510025 + 6482116 = 5245^2 + 2546^2 .

It is an emirp because it is prime and its reverse (14129933) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33992141 is a prime.

It is a Chen prime.

It is equal to p2088923 and since 33992141 and 2088923 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 33992098 and 33992107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33992171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16996070 + 16996071.

It is an arithmetic number, because the mean of its divisors is an integer number (16996071).

Almost surely, 233992141 is an apocalyptic number.

It is an amenable number.

33992141 is a deficient number, since it is larger than the sum of its proper divisors (1).

33992141 is an equidigital number, since it uses as much as digits as its factorization.

33992141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 32.

The square root of 33992141 is about 5830.2779522078. The cubic root of 33992141 is about 323.9362173130.

The spelling of 33992141 in words is "thirty-three million, nine hundred ninety-two thousand, one hundred forty-one".