Search a number
-
+
13972769 is a prime number
BaseRepresentation
bin110101010011…
…010100100001
3222021220000222
4311103110201
512034112034
61215252425
7226523636
oct65232441
928256028
1013972769
117983a48
12481a115
132b82c15
141bda18d
15136012e
hexd53521

13972769 has 2 divisors, whose sum is σ = 13972770. Its totient is φ = 13972768.

The previous prime is 13972747. The next prime is 13972781. The reversal of 13972769 is 96727931.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10804369 + 3168400 = 3287^2 + 1780^2 .

It is an emirp because it is prime and its reverse (96727931) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13972769 - 212 = 13968673 is a prime.

It is a super-2 number, since 2×139727692 = 390476547054722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13972169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6986384 + 6986385.

It is an arithmetic number, because the mean of its divisors is an integer number (6986385).

Almost surely, 213972769 is an apocalyptic number.

It is an amenable number.

13972769 is a deficient number, since it is larger than the sum of its proper divisors (1).

13972769 is an equidigital number, since it uses as much as digits as its factorization.

13972769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 142884, while the sum is 44.

The square root of 13972769 is about 3738.0167201338. The cubic root of 13972769 is about 240.8578616982.

It can be divided in two parts, 13972 and 769, that added together give a palindrome (14741).

The spelling of 13972769 in words is "thirteen million, nine hundred seventy-two thousand, seven hundred sixty-nine".