Search a number
-
+
688798973 is a prime number
BaseRepresentation
bin101001000011100…
…011110011111101
31210000002121120002
4221003203303331
52402313031343
6152203204045
723032460162
oct5103436375
91700077502
10688798973
11323899955
12172816625
13ac919c75
14676a0069
154070d8b8
hex290e3cfd

688798973 has 2 divisors, whose sum is σ = 688798974. Its totient is φ = 688798972.

The previous prime is 688798937. The next prime is 688798987. The reversal of 688798973 is 379897886.

Together with previous prime (688798937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 676104004 + 12694969 = 26002^2 + 3563^2 .

It is a cyclic number.

It is not a de Polignac number, because 688798973 - 26 = 688798909 is a prime.

It is a super-3 number, since 3×6887989733 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688798933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344399486 + 344399487.

It is an arithmetic number, because the mean of its divisors is an integer number (344399487).

Almost surely, 2688798973 is an apocalyptic number.

It is an amenable number.

688798973 is a deficient number, since it is larger than the sum of its proper divisors (1).

688798973 is an equidigital number, since it uses as much as digits as its factorization.

688798973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36578304, while the sum is 65.

The square root of 688798973 is about 26244.9799580796. The cubic root of 688798973 is about 883.1425919550.

The spelling of 688798973 in words is "six hundred eighty-eight million, seven hundred ninety-eight thousand, nine hundred seventy-three".