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64157 is a prime number
BaseRepresentation
bin1111101010011101
310021000012
433222131
54023112
61213005
7355022
oct175235
9107005
1064157
1144225
1231165
1323282
1419549
1514022
hexfa9d

64157 has 2 divisors, whose sum is σ = 64158. Its totient is φ = 64156.

The previous prime is 64153. The next prime is 64171. The reversal of 64157 is 75146.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63001 + 1156 = 251^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 64157 - 22 = 64153 is a prime.

It is a super-2 number, since 2×641572 = 8232241298, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32078 + 32079.

It is an arithmetic number, because the mean of its divisors is an integer number (32079).

264157 is an apocalyptic number.

It is an amenable number.

64157 is a deficient number, since it is larger than the sum of its proper divisors (1).

64157 is an equidigital number, since it uses as much as digits as its factorization.

64157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 23.

The square root of 64157 is about 253.2923212417. The cubic root of 64157 is about 40.0326816238.

It can be divided in two parts, 6 and 4157, that multiplied together give a palindrome (24942).

The spelling of 64157 in words is "sixty-four thousand, one hundred fifty-seven".