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61057 is a prime number
BaseRepresentation
bin1110111010000001
310002202101
432322001
53423212
61150401
7343003
oct167201
9102671
1061057
1141967
122b401
1321a39
1418373
1513157
hexee81

61057 has 2 divisors, whose sum is σ = 61058. Its totient is φ = 61056.

The previous prime is 61051. The next prime is 61091. The reversal of 61057 is 75016.

61057 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., 59536 + 1521 = 244^2 + 39^2 .

It is a cyclic number.

It is not a de Polignac number, because 61057 - 211 = 59009 is a prime.

It is a Chen prime.

61057 is a lucky number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (61051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30528 + 30529.

It is an arithmetic number, because the mean of its divisors is an integer number (30529).

261057 is an apocalyptic number.

It is an amenable number.

61057 is a deficient number, since it is larger than the sum of its proper divisors (1).

61057 is an equidigital number, since it uses as much as digits as its factorization.

61057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 61057 is about 247.0971468876. The cubic root of 61057 is about 39.3772292347.

The spelling of 61057 in words is "sixty-one thousand, fifty-seven".