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61224161 is a prime number
BaseRepresentation
bin1110100110001…
…1010011100001
311021012111202112
43221203103201
5111133133121
610024125105
71342253045
oct351432341
9137174675
1061224161
1131617689
1218606795
13c8b821b
1481ba025
15559575b
hex3a634e1

61224161 has 2 divisors, whose sum is σ = 61224162. Its totient is φ = 61224160.

The previous prime is 61224143. The next prime is 61224197. The reversal of 61224161 is 16142216.

61224161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58140625 + 3083536 = 7625^2 + 1756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61224161 is a prime.

It is equal to p3630461 and since 61224161 and 3630461 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (61224461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30612080 + 30612081.

It is an arithmetic number, because the mean of its divisors is an integer number (30612081).

Almost surely, 261224161 is an apocalyptic number.

It is an amenable number.

61224161 is a deficient number, since it is larger than the sum of its proper divisors (1).

61224161 is an equidigital number, since it uses as much as digits as its factorization.

61224161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

The square root of 61224161 is about 7824.5869539548. The cubic root of 61224161 is about 394.1313196559.

Adding to 61224161 its reverse (16142216), we get a palindrome (77366377).

The spelling of 61224161 in words is "sixty-one million, two hundred twenty-four thousand, one hundred sixty-one".