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998257 = 13174517
BaseRepresentation
bin11110011101101110001
31212201100111
43303231301
5223421012
633221321
711325241
oct3635561
91781314
10998257
11622007
12401841
1328c4b0
141bdb21
1514aba7
hexf3b71

998257 has 8 divisors (see below), whose sum is σ = 1138536. Its totient is φ = 867072.

The previous prime is 998243. The next prime is 998273. The reversal of 998257 is 752899.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 998001 = 16^2 + 999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 998257 - 211 = 996209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (998237) 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 7 ways as a sum of consecutive naturals, for example, 2038 + ... + 2479.

It is an arithmetic number, because the mean of its divisors is an integer number (142317).

2998257 is an apocalyptic number.

It is an amenable number.

998257 is a deficient number, since it is larger than the sum of its proper divisors (140279).

998257 is a wasteful number, since it uses less digits than its factorization.

998257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547.

The product of its digits is 45360, while the sum is 40.

The square root of 998257 is about 999.1281199126. The cubic root of 998257 is about 99.9418662112.

The spelling of 998257 in words is "nine hundred ninety-eight thousand, two hundred fifty-seven".

Divisors: 1 13 17 221 4517 58721 76789 998257