Search a number
-
+
9683973 = 3213372237
BaseRepresentation
bin100100111100…
…010000000101
3200012222220200
4210330100011
54434341343
6543321113
7145212105
oct44742005
920188820
109683973
115514792
1232b0199
132010a80
141401205
15cb44d3
hex93c405

9683973 has 24 divisors (see below), whose sum is σ = 15478008. Its totient is φ = 5795712.

The previous prime is 9683969. The next prime is 9683983. The reversal of 9683973 is 3793869.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2934369 + 6749604 = 1713^2 + 2598^2 .

It is not a de Polignac number, because 9683973 - 22 = 9683969 is a prime.

It is a d-powerful number, because it can be written as 92 + 63 + 8 + 314 + 92 + 76 + 314 .

9683973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9683963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3211 + ... + 5447.

It is an arithmetic number, because the mean of its divisors is an integer number (644917).

Almost surely, 29683973 is an apocalyptic number.

It is an amenable number.

9683973 is a deficient number, since it is larger than the sum of its proper divisors (5794035).

9683973 is a wasteful number, since it uses less digits than its factorization.

9683973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2290 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 9683973 is about 3111.9082570024. The cubic root of 9683973 is about 213.1496006495.

The spelling of 9683973 in words is "nine million, six hundred eighty-three thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 2237 4329 6711 20133 29081 82769 87243 248307 261729 744921 1075997 3227991 9683973