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66125 = 53232
BaseRepresentation
bin10000001001001101
310100201002
4100021031
54104000
61230045
7363533
oct201115
9110632
1066125
1145754
1232325
1324137
141a153
15148d5
hex1024d

66125 has 12 divisors (see below), whose sum is σ = 86268. Its totient is φ = 50600.

The previous prime is 66109. The next prime is 66137. The reversal of 66125 is 52166.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

66125 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 64009 = 46^2 + 253^2 .

It is not a de Polignac number, because 66125 - 24 = 66109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66097 and 66106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2864 + ... + 2886.

It is an arithmetic number, because the mean of its divisors is an integer number (7189).

266125 is an apocalyptic number.

It is an amenable number.

66125 is a deficient number, since it is larger than the sum of its proper divisors (20143).

66125 is an equidigital number, since it uses as much as digits as its factorization.

66125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 66125 is about 257.1478174125. The cubic root of 66125 is about 40.4378969955.

Multiplying 66125 by its sum of digits (20), we get a square (1322500 = 11502).

It can be divided in two parts, 661 and 25, that added together give a palindrome (686).

The spelling of 66125 in words is "sixty-six thousand, one hundred twenty-five".

Divisors: 1 5 23 25 115 125 529 575 2645 2875 13225 66125