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61881137 is a prime number
BaseRepresentation
bin1110110000001…
…1101100110001
311022102212221222
43230003230301
5111320144022
610050154425
71350660323
oct354035461
9138385858
1061881137
1131a2623a
1218882a15
13ca88276
14830b613
155675242
hex3b03b31

61881137 has 2 divisors, whose sum is σ = 61881138. Its totient is φ = 61881136.

The previous prime is 61881121. The next prime is 61881179. The reversal of 61881137 is 73118816.

61881137 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., 39828721 + 22052416 = 6311^2 + 4696^2 .

It is a cyclic number.

It is not a de Polignac number, because 61881137 - 24 = 61881121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61881097 and 61881106.

It is not a weakly prime, because it can be changed into another prime (61881437) 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, 30940568 + 30940569.

It is an arithmetic number, because the mean of its divisors is an integer number (30940569).

Almost surely, 261881137 is an apocalyptic number.

It is an amenable number.

61881137 is a deficient number, since it is larger than the sum of its proper divisors (1).

61881137 is an equidigital number, since it uses as much as digits as its factorization.

61881137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 35.

The square root of 61881137 is about 7866.4564449312. The cubic root of 61881137 is about 395.5360707372.

The spelling of 61881137 in words is "sixty-one million, eight hundred eighty-one thousand, one hundred thirty-seven".