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64125 = 335319
BaseRepresentation
bin1111101001111101
310020222000
433221331
54023000
61212513
7354645
oct175175
9106860
1064125
11441a6
1231139
1323259
1419525
1514000
hexfa7d

64125 has 32 divisors (see below), whose sum is σ = 124800. Its totient is φ = 32400.

The previous prime is 64123. The next prime is 64151. The reversal of 64125 is 52146.

It is a happy number.

64125 is a `hidden beast` number, since 641 + 25 = 666.

It is not a de Polignac number, because 64125 - 21 = 64123 is a prime.

It is a super-2 number, since 2×641252 = 8224031250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 64098 and 64107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3366 + ... + 3384.

It is an arithmetic number, because the mean of its divisors is an integer number (3900).

264125 is an apocalyptic number.

It is an amenable number.

64125 is a deficient number, since it is larger than the sum of its proper divisors (60675).

64125 is a wasteful number, since it uses less digits than its factorization.

64125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 27 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 64125 is about 253.2291452420. The cubic root of 64125 is about 40.0260247308.

It can be divided in two parts, 641 and 25, that added together give a palindrome (666).

The spelling of 64125 in words is "sixty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 95 125 135 171 225 285 375 475 513 675 855 1125 1425 2375 2565 3375 4275 7125 12825 21375 64125