Search a number
BaseRepresentation
bin10001101100101
3110102121
42031211
5242221
6105541
735263
oct21545
913377
109061
116898
1252b1
134180
143433
152a41
hex2365

9061 has 8 divisors (see below), whose sum is σ = 10584. Its totient is φ = 7680.

The previous prime is 9059. The next prime is 9067. The reversal of 9061 is 1609.

9061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 9025 = 6^2 + 95^2 .

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

It is a 5-Lehmer number, since φ(9061) divides (9061-1)5.

It is a cyclic number.

It is not a de Polignac number, because 9061 - 21 = 9059 is a prime.

It is a Duffinian number.

9061 is a lucky number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (1323).

29061 is an apocalyptic number.

It is an amenable number.

9061 is a deficient number, since it is larger than the sum of its proper divisors (1523).

9061 is a wasteful number, since it uses less digits than its factorization.

9061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 9061 is about 95.1892851113. The cubic root of 9061 is about 20.8477269422.

Subtracting from 9061 its sum of digits (16), we obtain a triangular number (9045 = T134).

It can be divided in two parts, 90 and 61, that added together give a palindrome (151).

The spelling of 9061 in words is "nine thousand, sixty-one".

Divisors: 1 13 17 41 221 533 697 9061