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9801 = 34112
BaseRepresentation
bin10011001001001
3111110000
42121021
5303201
6113213
740401
oct23111
914400
109801
117400
125809
1345cc
143801
152d86
hex2649

9801 has 15 divisors (see below), whose sum is σ = 16093. Its totient is φ = 5940.

The previous prime is 9791. The next prime is 9803. The reversal of 9801 is 1089.

Multipling 9801 by its reverse (1089), we get a square (10673289 = 32672).

9801 = T98 + T99.

The square root of 9801 is 99.

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

It is not a de Polignac number, because 9801 - 25 = 9769 is a prime.

It is a Curzon number.

9801 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 3 and base 11.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (9803) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 886 + ... + 896.

29801 is an apocalyptic number.

9801 is the 99-th square number and also the 81-st pentagonal number.

9801 is the 50-th centered octagonal number.

It is an amenable number.

9801 is a deficient number, since it is larger than the sum of its proper divisors (6292).

9801 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (9800) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (14).

9801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 9801 is about 21.4004774692.

The spelling of 9801 in words is "nine thousand, eight hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801