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823364461 is a prime number
BaseRepresentation
bin110001000100111…
…000101101101101
32010101022020201001
4301010320231231
53141240130321
6213411320301
726255324323
oct6104705555
92111266631
10823364461
113928499a7
121ab8b0091
1310177380a
147b4cbd13
154c43ec91
hex31138b6d

823364461 has 2 divisors, whose sum is σ = 823364462. Its totient is φ = 823364460.

The previous prime is 823364453. The next prime is 823364467. The reversal of 823364461 is 164463328.

823364461 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., 810540900 + 12823561 = 28470^2 + 3581^2 .

It is a cyclic number.

It is not a de Polignac number, because 823364461 - 23 = 823364453 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 823364461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823364467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411682230 + 411682231.

It is an arithmetic number, because the mean of its divisors is an integer number (411682231).

Almost surely, 2823364461 is an apocalyptic number.

It is an amenable number.

823364461 is a deficient number, since it is larger than the sum of its proper divisors (1).

823364461 is an equidigital number, since it uses as much as digits as its factorization.

823364461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 37.

The square root of 823364461 is about 28694.3280283752. The cubic root of 823364461 is about 937.2685384379.

The spelling of 823364461 in words is "eight hundred twenty-three million, three hundred sixty-four thousand, four hundred sixty-one".