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53657 is a prime number
BaseRepresentation
bin1101000110011001
32201121022
431012121
53204112
61052225
7312302
oct150631
981538
1053657
113734a
1227075
131b566
14157a9
1510d72
hexd199

53657 has 2 divisors, whose sum is σ = 53658. Its totient is φ = 53656.

The previous prime is 53653. The next prime is 53681. The reversal of 53657 is 75635.

53657 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., 50176 + 3481 = 224^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 53657 - 22 = 53653 is a prime.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53657.

It is not a weakly prime, because it can be changed into another prime (53653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26828 + 26829.

It is an arithmetic number, because the mean of its divisors is an integer number (26829).

253657 is an apocalyptic number.

It is an amenable number.

53657 is a deficient number, since it is larger than the sum of its proper divisors (1).

53657 is an equidigital number, since it uses as much as digits as its factorization.

53657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3150, while the sum is 26.

The square root of 53657 is about 231.6398065964. The cubic root of 53657 is about 37.7174331352.

The spelling of 53657 in words is "fifty-three thousand, six hundred fifty-seven".