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793141397 is a prime number
BaseRepresentation
bin101111010001100…
…110000010010101
32001021102202110022
4233101212002111
53111021011042
6210411434525
725440406406
oct5721460225
92037382408
10793141397
11377786964
121a1755a45
13c8421149
14774a19ad
154996ecd2
hex2f466095

793141397 has 2 divisors, whose sum is σ = 793141398. Its totient is φ = 793141396.

The previous prime is 793141379. The next prime is 793141399.

793141397 is nontrivially palindromic in base 10.

Together with previous prime (793141379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792478801 + 662596 = 28151^2 + 814^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 793141397 - 26 = 793141333 is a prime.

It is a super-3 number, since 3×7931413973 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 793141399, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (793141399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 396570698 + 396570699.

It is an arithmetic number, because the mean of its divisors is an integer number (396570699).

Almost surely, 2793141397 is an apocalyptic number.

It is an amenable number.

793141397 is a deficient number, since it is larger than the sum of its proper divisors (1).

793141397 is an equidigital number, since it uses as much as digits as its factorization.

793141397 is an evil number, because the sum of its binary digits is even.

The product of its digits is 142884, while the sum is 44.

The square root of 793141397 is about 28162.7661461015. The cubic root of 793141397 is about 925.6572478155.

The spelling of 793141397 in words is "seven hundred ninety-three million, one hundred forty-one thousand, three hundred ninety-seven".