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823097029 is a prime number
BaseRepresentation
bin110001000011110…
…111011011000101
32010100210122212011
4301003313123011
53141203101104
6213401454221
726253131536
oct6103673305
92110718764
10823097029
11392686a87
121ab7a1371
131016abb81
147b45c68d
154c3da904
hex310f76c5

823097029 has 2 divisors, whose sum is σ = 823097030. Its totient is φ = 823097028.

The previous prime is 823096997. The next prime is 823097047. The reversal of 823097029 is 920790328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 454840929 + 368256100 = 21327^2 + 19190^2 .

It is a cyclic number.

It is not a de Polignac number, because 823097029 - 25 = 823096997 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 823096982 and 823097000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823097929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411548514 + 411548515.

It is an arithmetic number, because the mean of its divisors is an integer number (411548515).

Almost surely, 2823097029 is an apocalyptic number.

It is an amenable number.

823097029 is a deficient number, since it is larger than the sum of its proper divisors (1).

823097029 is an equidigital number, since it uses as much as digits as its factorization.

823097029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 823097029 is about 28689.6676348821. The cubic root of 823097029 is about 937.1670512859.

The spelling of 823097029 in words is "eight hundred twenty-three million, ninety-seven thousand, twenty-nine".