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33057097 is a prime number
BaseRepresentation
bin111111000011…
…0100101001001
32022012110210221
41332012211021
531430311342
63140310041
7550660243
oct176064511
968173727
1033057097
1117729317
12b0a2321
136b05618
144567093
152d7ea67
hex1f86949

33057097 has 2 divisors, whose sum is σ = 33057098. Its totient is φ = 33057096.

The previous prime is 33057091. The next prime is 33057161. The reversal of 33057097 is 79075033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24641296 + 8415801 = 4964^2 + 2901^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33057097 is a prime.

It is not a weakly prime, because it can be changed into another prime (33057091) 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, 16528548 + 16528549.

It is an arithmetic number, because the mean of its divisors is an integer number (16528549).

Almost surely, 233057097 is an apocalyptic number.

It is an amenable number.

33057097 is a deficient number, since it is larger than the sum of its proper divisors (1).

33057097 is an equidigital number, since it uses as much as digits as its factorization.

33057097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19845, while the sum is 34.

The square root of 33057097 is about 5749.5301547170. The cubic root of 33057097 is about 320.9383169037.

The spelling of 33057097 in words is "thirty-three million, fifty-seven thousand, ninety-seven".