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33097037 is a prime number
BaseRepresentation
bin111111001000…
…0010101001101
32022021111121012
41332100111031
531433101122
63141215005
7551214551
oct176202515
968244535
1033097037
1117756326
12b101465
136b1a85c
144577861
152d8b7e2
hex1f9054d

33097037 has 2 divisors, whose sum is σ = 33097038. Its totient is φ = 33097036.

The previous prime is 33097003. The next prime is 33097039. The reversal of 33097037 is 73079033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29278921 + 3818116 = 5411^2 + 1954^2 .

It is a cyclic number.

It is not a de Polignac number, because 33097037 - 28 = 33096781 is a prime.

Together with 33097039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33096994 and 33097012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33097039) 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, 16548518 + 16548519.

It is an arithmetic number, because the mean of its divisors is an integer number (16548519).

Almost surely, 233097037 is an apocalyptic number.

It is an amenable number.

33097037 is a deficient number, since it is larger than the sum of its proper divisors (1).

33097037 is an equidigital number, since it uses as much as digits as its factorization.

33097037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11907, while the sum is 32.

The square root of 33097037 is about 5753.0024335124. The cubic root of 33097037 is about 321.0675187857.

The spelling of 33097037 in words is "thirty-three million, ninety-seven thousand, thirty-seven".