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61838321 is a prime number
BaseRepresentation
bin1110101111100…
…1001111110001
311022100201020012
43223321033301
5111312311241
610045224305
71350421436
oct353711761
9138321205
1061838321
11319a7056
1218862095
13ca7192c
1482d9b8d
1556676eb
hex3af93f1

61838321 has 2 divisors, whose sum is σ = 61838322. Its totient is φ = 61838320.

The previous prime is 61838297. The next prime is 61838327. The reversal of 61838321 is 12383816.

61838321 = 55602 + 55612.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30924721 + 30913600 = 5561^2 + 5560^2 .

It is a cyclic number.

It is not a de Polignac number, because 61838321 - 222 = 57644017 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (61838327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30919160 + 30919161.

It is an arithmetic number, because the mean of its divisors is an integer number (30919161).

Almost surely, 261838321 is an apocalyptic number.

61838321 is the 5561-st centered square number.

It is an amenable number.

61838321 is a deficient number, since it is larger than the sum of its proper divisors (1).

61838321 is an equidigital number, since it uses as much as digits as its factorization.

61838321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 32.

The square root of 61838321 is about 7863.7345453671. The cubic root of 61838321 is about 395.4448249467. Note that the first 3 decimals are identical.

The spelling of 61838321 in words is "sixty-one million, eight hundred thirty-eight thousand, three hundred twenty-one".