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98397 = 3213292
BaseRepresentation
bin11000000001011101
311222222100
4120001131
511122042
62035313
7556605
oct300135
9158870
1098397
1167a22
1248b39
1335a30
1427c05
151e24c
hex1805d

98397 has 18 divisors (see below), whose sum is σ = 158522. Its totient is φ = 58464.

The previous prime is 98389. The next prime is 98407. The reversal of 98397 is 79389.

It can be written as a sum of positive squares in 3 ways, for example, as 4761 + 93636 = 69^2 + 306^2 .

It is not a de Polignac number, because 98397 - 23 = 98389 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98397.

It is not an unprimeable number, because it can be changed into a prime (98317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3379 + ... + 3407.

298397 is an apocalyptic number.

It is an amenable number.

98397 is a deficient number, since it is larger than the sum of its proper divisors (60125).

98397 is a wasteful number, since it uses less digits than its factorization.

98397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 98397 is about 313.6829609654. The cubic root of 98397 is about 46.1665356134.

The spelling of 98397 in words is "ninety-eight thousand, three hundred ninety-seven".

Divisors: 1 3 9 13 29 39 87 117 261 377 841 1131 2523 3393 7569 10933 32799 98397