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61368137 is a prime number
BaseRepresentation
bin1110101000011…
…0011101001001
311021110211020222
43222012131021
5111202240022
610031155425
71343422565
oct352063511
9137424228
1061368137
1131705876
1218675b75
13c93890c
1482166a5
1555c3242
hex3a86749

61368137 has 2 divisors, whose sum is σ = 61368138. Its totient is φ = 61368136.

The previous prime is 61368101. The next prime is 61368143. The reversal of 61368137 is 73186316.

61368137 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., 49970761 + 11397376 = 7069^2 + 3376^2 .

It is a cyclic number.

It is not a de Polignac number, because 61368137 - 28 = 61367881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61368097 and 61368106.

It is not a weakly prime, because it can be changed into another prime (61368187) 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, 30684068 + 30684069.

It is an arithmetic number, because the mean of its divisors is an integer number (30684069).

Almost surely, 261368137 is an apocalyptic number.

It is an amenable number.

61368137 is a deficient number, since it is larger than the sum of its proper divisors (1).

61368137 is an equidigital number, since it uses as much as digits as its factorization.

61368137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 35.

The square root of 61368137 is about 7833.7817814897. The cubic root of 61368137 is about 394.4400269087.

The spelling of 61368137 in words is "sixty-one million, three hundred sixty-eight thousand, one hundred thirty-seven".