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66365 = 5131021
BaseRepresentation
bin10000001100111101
310101000222
4100030331
54110430
61231125
7364325
oct201475
9111028
1066365
1145952
12324a5
1324290
141a285
15149e5
hex1033d

66365 has 8 divisors (see below), whose sum is σ = 85848. Its totient is φ = 48960.

The previous prime is 66361. The next prime is 66373. The reversal of 66365 is 56366.

Subtracting from 66365 its reverse (56366), we obtain a palindrome (9999).

It can be divided in two parts, 66 and 365, that multiplied together give a triangular number (24090 = T219).

It can be written as a sum of positive squares in 4 ways, for example, as 1849 + 64516 = 43^2 + 254^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 66365 - 22 = 66361 is a prime.

It is a Duffinian number.

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 66365.

It is not an unprimeable number, because it can be changed into a prime (66361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (10731).

266365 is an apocalyptic number.

66365 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

66365 is a deficient number, since it is larger than the sum of its proper divisors (19483).

66365 is a wasteful number, since it uses less digits than its factorization.

66365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039.

The product of its digits is 3240, while the sum is 26.

The square root of 66365 is about 257.6140524117. The cubic root of 66365 is about 40.4867609016.

The spelling of 66365 in words is "sixty-six thousand, three hundred sixty-five".

Divisors: 1 5 13 65 1021 5105 13273 66365