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261121 = 72732
BaseRepresentation
bin111111110000000001
3111021012011
4333300001
531323441
65332521
72135200
oct776001
9437164
10261121
11169203
12107141
1391b13
146b237
1552581
hex3fc01

261121 has 9 divisors (see below), whose sum is σ = 307971. Its totient is φ = 220752.

The previous prime is 261101. The next prime is 261127. The reversal of 261121 is 121162.

The square root of 261121 is 511.

It is a perfect power (a square), and thus also a powerful number.

261121 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 only one way, i.e., 148225 + 112896 = 385^2 + 336^2 .

It is not a de Polignac number, because 261121 - 25 = 261089 is a prime.

It is a Duffinian number.

261121 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (261127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3541 + ... + 3613.

It is an arithmetic number, because the mean of its divisors is an integer number (34219).

It is a Proth number, since it is equal to 255 ⋅ 210 + 1 and 255 < 210.

2261121 is an apocalyptic number.

261121 is the 511-st square number.

261121 is the 256-th centered octagonal number.

It is an amenable number.

261121 is a deficient number, since it is larger than the sum of its proper divisors (46850).

261121 is an frugal number, since it uses more digits than its factorization.

261121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The cubic root of 261121 is about 63.9166395164.

Adding to 261121 its reverse (121162), we get a palindrome (382283).

The spelling of 261121 in words is "two hundred sixty-one thousand, one hundred twenty-one".

Divisors: 1 7 49 73 511 3577 5329 37303 261121