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33940037 is a prime number
BaseRepresentation
bin1000000101111…
…0001001000101
32100212022222102
42001132021011
532142040122
63211241445
7561325355
oct201361105
970768872
1033940037
111818171a
12b449285
137054481
144716b65
152ea6492
hex205e245

33940037 has 2 divisors, whose sum is σ = 33940038. Its totient is φ = 33940036.

The previous prime is 33940031. The next prime is 33940051. The reversal of 33940037 is 73004933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33016516 + 923521 = 5746^2 + 961^2 .

It is an emirp because it is prime and its reverse (73004933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33940037 - 24 = 33940021 is a prime.

It is a super-2 number, since 2×339400372 = 2303852223122738, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33939991 and 33940009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33940031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16970018 + 16970019.

It is an arithmetic number, because the mean of its divisors is an integer number (16970019).

Almost surely, 233940037 is an apocalyptic number.

It is an amenable number.

33940037 is a deficient number, since it is larger than the sum of its proper divisors (1).

33940037 is an equidigital number, since it uses as much as digits as its factorization.

33940037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 33940037 is about 5825.8078409779. The cubic root of 33940037 is about 323.7706201741.

The spelling of 33940037 in words is "thirty-three million, nine hundred forty thousand, thirty-seven".