Search a number
-
+
9997677 = 326411733
BaseRepresentation
bin100110001000…
…110101101101
3200210221020100
4212020311231
510024411202
6554141313
7150656514
oct46106555
920727210
109997677
115709448
123421839
1320c07b1
14148367b
15d2741c
hex988d6d

9997677 has 12 divisors (see below), whose sum is σ = 14471964. Its totient is φ = 6650880.

The previous prime is 9997661. The next prime is 9997697. The reversal of 9997677 is 7767999.

9997677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7001316 + 2996361 = 2646^2 + 1731^2 .

It is not a de Polignac number, because 9997677 - 24 = 9997661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4903 + ... + 6635.

It is an arithmetic number, because the mean of its divisors is an integer number (1205997).

Almost surely, 29997677 is an apocalyptic number.

It is an amenable number.

9997677 is a deficient number, since it is larger than the sum of its proper divisors (4474287).

9997677 is a wasteful number, since it uses less digits than its factorization.

9997677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2377 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 54.

The square root of 9997677 is about 3161.9103402848. The cubic root of 9997677 is about 215.4267852053.

The spelling of 9997677 in words is "nine million, nine hundred ninety-seven thousand, six hundred seventy-seven".

Divisors: 1 3 9 641 1733 1923 5199 5769 15597 1110853 3332559 9997677