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871371361 = 7242172
BaseRepresentation
bin110011111100000…
…001001001100001
32020201122020210101
4303330001021201
53241032340421
6222244302401
730410351200
oct6374011141
92221566711
10871371361
11407959223
122039a1a01
1310b6b1973
1483a27237
1551774191
hex33f01261

871371361 has 9 divisors (see below), whose sum is σ = 1013876499. Its totient is φ = 746712624.

The previous prime is 871371341. The next prime is 871371367. The reversal of 871371361 is 163173178.

It is a happy number.

The square root of 871371361 is 29519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 774230625 + 97140736 = 27825^2 + 9856^2 .

It is not a de Polignac number, because 871371361 - 29 = 871370849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 871371361.

It is not an unprimeable number, because it can be changed into a prime (871371367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 204525 + ... + 208741.

Almost surely, 2871371361 is an apocalyptic number.

871371361 is the 29519-th square number.

871371361 is the 14760-th centered octagonal number.

It is an amenable number.

871371361 is a deficient number, since it is larger than the sum of its proper divisors (142505138).

871371361 is an frugal number, since it uses more digits than its factorization.

871371361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448 (or 4224 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The cubic root of 871371361 is about 955.1416001214.

The spelling of 871371361 in words is "eight hundred seventy-one million, three hundred seventy-one thousand, three hundred sixty-one".

Divisors: 1 7 49 4217 29519 206633 17783089 124481623 871371361