Search a number
-
+
265729 is a prime number
BaseRepresentation
bin1000000111000000001
3111111111211
41000320001
532000404
65410121
72154502
oct1007001
9444454
10265729
11171712
12109941
1393c49
146cba9
1553b04
hex40e01

265729 has 2 divisors, whose sum is σ = 265730. Its totient is φ = 265728.

The previous prime is 265717. The next prime is 265739. The reversal of 265729 is 927562.

265729 is nontrivially palindromic in base 8.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 65025 = 448^2 + 255^2 .

It is a cyclic number.

It is not a de Polignac number, because 265729 - 215 = 232961 is a prime.

It is a super-2 number, since 2×2657292 = 141223802882, which contains 22 as substring.

It is a d-powerful number, because it can be written as 217 + 62 + 73 + 55 + 217 + 92 .

It is a self number, because there is not a number n which added to its sum of digits gives 265729.

It is not a weakly prime, because it can be changed into another prime (265709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132864 + 132865.

It is an arithmetic number, because the mean of its divisors is an integer number (132865).

265729 is a Friedman number, since it can be written as (9^6+7+5*2)/2, using all its digits and the basic arithmetic operations.

2265729 is an apocalyptic number.

It is an amenable number.

265729 is a deficient number, since it is larger than the sum of its proper divisors (1).

265729 is an equidigital number, since it uses as much as digits as its factorization.

265729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 265729 is about 515.4890881483. The cubic root of 265729 is about 64.2904281082.

The spelling of 265729 in words is "two hundred sixty-five thousand, seven hundred twenty-nine".