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64189 is a prime number
BaseRepresentation
bin1111101010111101
310021001101
433222331
54023224
61213101
7355066
oct175275
9107041
1064189
1144254
1231191
13232a8
141956d
1514044
hexfabd

64189 has 2 divisors, whose sum is σ = 64190. Its totient is φ = 64188.

The previous prime is 64187. The next prime is 64217. The reversal of 64189 is 98146.

It is an a-pointer prime, because the next prime (64217) can be obtained adding 64189 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 5625 = 242^2 + 75^2 .

It is a cyclic number.

It is not a de Polignac number, because 64189 - 21 = 64187 is a prime.

Together with 64187, it forms a pair of twin primes.

It is a Chen prime.

64189 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32094 + 32095.

It is an arithmetic number, because the mean of its divisors is an integer number (32095).

264189 is an apocalyptic number.

It is an amenable number.

64189 is a deficient number, since it is larger than the sum of its proper divisors (1).

64189 is an equidigital number, since it uses as much as digits as its factorization.

64189 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 28.

The square root of 64189 is about 253.3554814880. The cubic root of 64189 is about 40.0393363037.

It can be divided in two parts, 64 and 189, that added together give a triangular number (253 = T22).

The spelling of 64189 in words is "sixty-four thousand, one hundred eighty-nine".