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66795 = 356173
BaseRepresentation
bin10000010011101011
310101121220
4100103223
54114140
61233123
7365511
oct202353
9111556
1066795
1146203
12327a3
1324531
141a4b1
1514bd0
hex104eb

66795 has 16 divisors (see below), whose sum is σ = 110112. Its totient is φ = 34560.

The previous prime is 66791. The next prime is 66797. The reversal of 66795 is 59766.

66795 is a nontrivial binomial coefficient, being equal to C(366, 2).

It is not a de Polignac number, because 66795 - 22 = 66791 is a prime.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (66791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (6882).

266795 is an apocalyptic number.

66795 is the 365-th triangular number and also the 183-rd hexagonal number.

66795 is a deficient number, since it is larger than the sum of its proper divisors (43317).

66795 is a wasteful number, since it uses less digits than its factorization.

66795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142.

The product of its digits is 11340, while the sum is 33.

The square root of 66795 is about 258.4472866950. The cubic root of 66795 is about 40.5740149351.

Subtracting from 66795 its product of digits (11340), we obtain a palindrome (55455).

It can be divided in two parts, 66 and 795, that added together give a triangular number (861 = T41).

The spelling of 66795 in words is "sixty-six thousand, seven hundred ninety-five".

Divisors: 1 3 5 15 61 73 183 219 305 365 915 1095 4453 13359 22265 66795