Search a number
-
+
264769 is a prime number
BaseRepresentation
bin1000000101001000001
3111110012021
41000221001
531433034
65401441
72151631
oct1005101
9443167
10264769
11170a1a
12109281
139368b
146c6c1
15536b4
hex40a41

264769 has 2 divisors, whose sum is σ = 264770. Its totient is φ = 264768.

The previous prime is 264763. The next prime is 264779. The reversal of 264769 is 967462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263169 + 1600 = 513^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 264769 - 213 = 256577 is a prime.

It is a super-2 number, since 2×2647692 = 140205246722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264763) 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, 132384 + 132385.

It is an arithmetic number, because the mean of its divisors is an integer number (132385).

2264769 is an apocalyptic number.

It is an amenable number.

264769 is a deficient number, since it is larger than the sum of its proper divisors (1).

264769 is an equidigital number, since it uses as much as digits as its factorization.

264769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 34.

The square root of 264769 is about 514.5570910987. The cubic root of 264769 is about 64.2129139435.

The spelling of 264769 in words is "two hundred sixty-four thousand, seven hundred sixty-nine".