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9966257 = 72203393
BaseRepresentation
bin100110000001…
…001010110001
3200202100010122
4212001022301
510022410012
6553340025
7150466100
oct46011261
920670118
109966257
115697884
123407615
1320ac3c2
141476037
15d1ce72
hex9812b1

9966257 has 6 divisors (see below), whose sum is σ = 11593458. Its totient is φ = 8542464.

The previous prime is 9966251. The next prime is 9966259. The reversal of 9966257 is 7526699.

It can be written as a sum of positive squares in only one way, i.e., 7529536 + 2436721 = 2744^2 + 1561^2 .

It is not a de Polignac number, because 9966257 - 26 = 9966193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9966251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101648 + ... + 101745.

It is an arithmetic number, because the mean of its divisors is an integer number (1932243).

Almost surely, 29966257 is an apocalyptic number.

It is an amenable number.

9966257 is a deficient number, since it is larger than the sum of its proper divisors (1627201).

9966257 is a wasteful number, since it uses less digits than its factorization.

9966257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203407 (or 203400 counting only the distinct ones).

The product of its digits is 204120, while the sum is 44.

The square root of 9966257 is about 3156.9379151323. The cubic root of 9966257 is about 215.2008723011.

The spelling of 9966257 in words is "nine million, nine hundred sixty-six thousand, two hundred fifty-seven".

Divisors: 1 7 49 203393 1423751 9966257