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61977361 is a prime number
BaseRepresentation
bin1110110001101…
…1001100010001
311022121202221211
43230123030101
5111331233421
610052220121
71351541005
oct354331421
9138552854
1061977361
1131a91566
121890a641
13cabccc4
148334705
1556939e1
hex3b1b311

61977361 has 2 divisors, whose sum is σ = 61977362. Its totient is φ = 61977360.

The previous prime is 61977347. The next prime is 61977407. The reversal of 61977361 is 16377916.

It is a happy number.

61977361 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., 57380625 + 4596736 = 7575^2 + 2144^2 .

It is a cyclic number.

It is not a de Polignac number, because 61977361 - 215 = 61944593 is a prime.

It is not a weakly prime, because it can be changed into another prime (61977761) 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, 30988680 + 30988681.

It is an arithmetic number, because the mean of its divisors is an integer number (30988681).

Almost surely, 261977361 is an apocalyptic number.

It is an amenable number.

61977361 is a deficient number, since it is larger than the sum of its proper divisors (1).

61977361 is an equidigital number, since it uses as much as digits as its factorization.

61977361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 47628, while the sum is 40.

The square root of 61977361 is about 7872.5701648191. The cubic root of 61977361 is about 395.7409816044.

The spelling of 61977361 in words is "sixty-one million, nine hundred seventy-seven thousand, three hundred sixty-one".