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66087 = 3271049
BaseRepresentation
bin10000001000100111
310100122200
4100020213
54103322
61225543
7363450
oct201047
9110580
1066087
114571a
12322b3
1324108
141a127
15148ac
hex10227

66087 has 12 divisors (see below), whose sum is σ = 109200. Its totient is φ = 37728.

The previous prime is 66083. The next prime is 66089. The reversal of 66087 is 78066.

It is not a de Polignac number, because 66087 - 22 = 66083 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 66087.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66087.

It is not an unprimeable number, because it can be changed into a prime (66083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

266087 is an apocalyptic number.

66087 is a deficient number, since it is larger than the sum of its proper divisors (43113).

66087 is a wasteful number, since it uses less digits than its factorization.

66087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66087 is about 257.0739193306. The cubic root of 66087 is about 40.4301493734.

It can be divided in two parts, 660 and 87, that added together give a palindrome (747).

The spelling of 66087 in words is "sixty-six thousand, eighty-seven".

Divisors: 1 3 7 9 21 63 1049 3147 7343 9441 22029 66087