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3397117117 is a prime number
BaseRepresentation
bin1100101001111011…
…1110010010111101
322202202021102121111
43022132332102331
523424130221432
61321032002021
7150120006352
oct31236762275
98682242544
103397117117
111493647409
127a9830311
13421a56894
1424325a629
1514d388347
hexca7be4bd

3397117117 has 2 divisors, whose sum is σ = 3397117118. Its totient is φ = 3397117116.

The previous prime is 3397117111. The next prime is 3397117151. The reversal of 3397117117 is 7117117933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2892395961 + 504721156 = 53781^2 + 22466^2 .

It is an emirp because it is prime and its reverse (7117117933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3397117117 - 215 = 3397084349 is a prime.

It is a super-3 number, since 3×33971171173 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3397117117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3397117111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1698558558 + 1698558559.

It is an arithmetic number, because the mean of its divisors is an integer number (1698558559).

Almost surely, 23397117117 is an apocalyptic number.

It is an amenable number.

3397117117 is a deficient number, since it is larger than the sum of its proper divisors (1).

3397117117 is an equidigital number, since it uses as much as digits as its factorization.

3397117117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27783, while the sum is 40.

The square root of 3397117117 is about 58284.7931882751. The cubic root of 3397117117 is about 1503.2694784222.

The spelling of 3397117117 in words is "three billion, three hundred ninety-seven million, one hundred seventeen thousand, one hundred seventeen".