Search a number
38061 = 324229
BaseRepresentation
bin1001010010101101
31221012200
421102231
52204221
6452113
7215652
oct112255
957180
1038061
1126661
121a039
131442a
14dc29
15b426

38061 has 6 divisors (see below), whose sum is σ = 54990. Its totient is φ = 25368.

The previous prime is 38053. The next prime is 38069. The reversal of 38061 is 16083.

38061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38053) and next prime (38069).

It can be written as a sum of positive squares in only one way, i.e., 38025 + 36 = 195^2 + 6^2 .

It is not a de Polignac number, because 38061 - 23 = 38053 is a prime.

It is a Curzon number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2106 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (9165).

238061 is an apocalyptic number.

It is an amenable number.

38061 is a deficient number, since it is larger than the sum of its proper divisors (16929).

38061 is a wasteful number, since it uses less digits than its factorization.

38061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 38061 is about 195.0922858547. The cubic root of 38061 is about 33.6377339681.

It can be divided in two parts, 380 and 61, that added together give a square (441 = 212).

The spelling of 38061 in words is "thirty-eight thousand, sixty-one".

Divisors: 1 3 9 4229 12687 38061