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33074137 is a prime number
BaseRepresentation
bin111111000101…
…0101111011001
32022020100012001
41332022233121
531431333022
63140521001
7551061025
oct176125731
968210161
1033074137
11177400a8
12b0b0161
136b102c5
14456d385
152d84b27
hex1f8abd9

33074137 has 2 divisors, whose sum is σ = 33074138. Its totient is φ = 33074136.

The previous prime is 33074131. The next prime is 33074147. The reversal of 33074137 is 73147033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23270976 + 9803161 = 4824^2 + 3131^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33074137 is a prime.

It is equal to p2035909 and since 33074137 and 2035909 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (33074131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16537068 + 16537069.

It is an arithmetic number, because the mean of its divisors is an integer number (16537069).

Almost surely, 233074137 is an apocalyptic number.

It is an amenable number.

33074137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33074137 is an equidigital number, since it uses as much as digits as its factorization.

33074137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 33074137 is about 5751.0118240184. The cubic root of 33074137 is about 320.9934523109.

The spelling of 33074137 in words is "thirty-three million, seventy-four thousand, one hundred thirty-seven".