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33052997 is a prime number
BaseRepresentation
bin111111000010…
…1100101000101
32022012021012002
41332011211011
531430143442
63140235045
7550642265
oct176054505
968167162
1033052997
111772622a
12b09ba85
136b037b3
1445657a5
152d7d732
hex1f85945

33052997 has 2 divisors, whose sum is σ = 33052998. Its totient is φ = 33052996.

The previous prime is 33052967. The next prime is 33053017. The reversal of 33052997 is 79925033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33016516 + 36481 = 5746^2 + 191^2 .

It is a cyclic number.

It is not a de Polignac number, because 33052997 - 214 = 33036613 is a prime.

It is a super-2 number, since 2×330529972 = 2185001221364018, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33052997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33052907) 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, 16526498 + 16526499.

It is an arithmetic number, because the mean of its divisors is an integer number (16526499).

Almost surely, 233052997 is an apocalyptic number.

It is an amenable number.

33052997 is a deficient number, since it is larger than the sum of its proper divisors (1).

33052997 is an equidigital number, since it uses as much as digits as its factorization.

33052997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 38.

The square root of 33052997 is about 5749.1735927871. The cubic root of 33052997 is about 320.9250479274.

The spelling of 33052997 in words is "thirty-three million, fifty-two thousand, nine hundred ninety-seven".