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823172797 is a prime number
BaseRepresentation
bin110001000100001…
…001111010111101
32010100221111210101
4301010021322331
53141213012142
6213403241101
726253565456
oct6104117275
92110844711
10823172797
113927289a7
121ab819191
131017074c5
147b47c12d
154c4030b7
hex31109ebd

823172797 has 2 divisors, whose sum is σ = 823172798. Its totient is φ = 823172796.

The previous prime is 823172761. The next prime is 823172809. The reversal of 823172797 is 797271328.

It is a happy number.

823172797 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., 564252516 + 258920281 = 23754^2 + 16091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-823172797 is a prime.

It is a super-2 number, since 2×8231727972 = 1355226907441606418, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823172717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411586398 + 411586399.

It is an arithmetic number, because the mean of its divisors is an integer number (411586399).

Almost surely, 2823172797 is an apocalyptic number.

It is an amenable number.

823172797 is a deficient number, since it is larger than the sum of its proper divisors (1).

823172797 is an equidigital number, since it uses as much as digits as its factorization.

823172797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 296352, while the sum is 46.

The square root of 823172797 is about 28690.9880798832. The cubic root of 823172797 is about 937.1958065407.

The spelling of 823172797 in words is "eight hundred twenty-three million, one hundred seventy-two thousand, seven hundred ninety-seven".