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33745057 is a prime number
BaseRepresentation
bin1000000010111…
…0100010100001
32100111102111221
42000232202201
532114320212
63203135041
7556554043
oct200564241
970442457
1033745057
1118059185
12b374481
136cb67b8
1446a5a93
152e68807
hex202e8a1

33745057 has 2 divisors, whose sum is σ = 33745058. Its totient is φ = 33745056.

The previous prime is 33745031. The next prime is 33745069. The reversal of 33745057 is 75054733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33744481 + 576 = 5809^2 + 24^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33745057 is a prime.

It is a super-2 number, since 2×337450572 = 2277457743866498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33745457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16872528 + 16872529.

It is an arithmetic number, because the mean of its divisors is an integer number (16872529).

Almost surely, 233745057 is an apocalyptic number.

It is an amenable number.

33745057 is a deficient number, since it is larger than the sum of its proper divisors (1).

33745057 is an equidigital number, since it uses as much as digits as its factorization.

33745057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 34.

The square root of 33745057 is about 5809.0495780291. The cubic root of 33745057 is about 323.1494258891.

The spelling of 33745057 in words is "thirty-three million, seven hundred forty-five thousand, fifty-seven".