Search a number
-
+
97871449 = 1327612
BaseRepresentation
bin1011101010101…
…10011001011001
320211011101101111
411311112121121
5200023341244
613413420321
72265615334
oct565263131
9224141344
1097871449
11502782a5
122893a6a1
1317379a00
14cdd961b
1588d3e34
hex5d56659

97871449 has 9 divisors (see below), whose sum is σ = 106118589. Its totient is φ = 90224160.

The previous prime is 97871419. The next prime is 97871453. The reversal of 97871449 is 94417879.

The square root of 97871449 is 9893.

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

It can be written as a sum of positive squares in 4 ways, for example, as 79655625 + 18215824 = 8925^2 + 4268^2 .

It is not a de Polignac number, because 97871449 - 213 = 97863257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97871419) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128229 + ... + 128989.

Almost surely, 297871449 is an apocalyptic number.

97871449 is the 9893-rd square number.

97871449 is the 4947-th centered octagonal number.

It is an amenable number.

97871449 is a deficient number, since it is larger than the sum of its proper divisors (8247140).

97871449 is an frugal number, since it uses more digits than its factorization.

97871449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 774 counting only the distinct ones).

The product of its digits is 508032, while the sum is 49.

The cubic root of 97871449 is about 460.8419504536.

Multiplying 97871449 by its sum of digits (49), we get a square (4795701001 = 692512).

It can be divided in two parts, 9787 and 1449, that added together give a square (11236 = 1062).

The spelling of 97871449 in words is "ninety-seven million, eight hundred seventy-one thousand, four hundred forty-nine".

Divisors: 1 13 169 761 9893 128609 579121 7528573 97871449