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3997776397 is a prime number
BaseRepresentation
bin1110111001001001…
…0011101000001101
3101022121112002020111
43232102103220031
531141412321042
61500410120021
7201032352526
oct35622235015
911277462214
103997776397
11177170563a
12936a20011
134b9323584
1429cd3584d
15185e86517
hexee493a0d

3997776397 has 2 divisors, whose sum is σ = 3997776398. Its totient is φ = 3997776396.

The previous prime is 3997776329. The next prime is 3997776401. The reversal of 3997776397 is 7936777993.

3997776397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2341204996 + 1656571401 = 48386^2 + 40701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3997776397 is a prime.

It is a super-3 number, since 3×39977763973 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3997776997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1998888198 + 1998888199.

It is an arithmetic number, because the mean of its divisors is an integer number (1998888199).

Almost surely, 23997776397 is an apocalyptic number.

It is an amenable number.

3997776397 is a deficient number, since it is larger than the sum of its proper divisors (1).

3997776397 is an equidigital number, since it uses as much as digits as its factorization.

3997776397 is an evil number, because the sum of its binary digits is even.

The product of its digits is 94517766, while the sum is 67.

The square root of 3997776397 is about 63227.9716343961. The cubic root of 3997776397 is about 1587.1068516343.

The spelling of 3997776397 in words is "three billion, nine hundred ninety-seven million, seven hundred seventy-six thousand, three hundred ninety-seven".