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2097121 = 13212409
BaseRepresentation
bin111111111111111100001
310221112201011
413333333201
51014101441
6112540521
723553025
oct7777741
93845634
102097121
111202664
12851741
13585700
143c8385
152b6581
hex1fffe1

2097121 has 6 divisors (see below), whose sum is σ = 2271030. Its totient is φ = 1935648.

The previous prime is 2097097. The next prime is 2097131. The reversal of 2097121 is 1217902.

It can be written as a sum of positive squares in 3 ways, for example, as 192721 + 1904400 = 439^2 + 1380^2 .

It is not a de Polignac number, because 2097121 - 27 = 2096993 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2097092 and 2097101.

It is not an unprimeable number, because it can be changed into a prime (2097131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6036 + ... + 6373.

It is an arithmetic number, because the mean of its divisors is an integer number (378505).

22097121 is an apocalyptic number.

It is an amenable number.

2097121 is a deficient number, since it is larger than the sum of its proper divisors (173909).

2097121 is a wasteful number, since it uses less digits than its factorization.

2097121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12435 (or 12422 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 2097121 is about 1448.1439845540. The cubic root of 2097121 is about 127.9993693003. Note that the first 3 decimals are identical.

It can be divided in two parts, 20971 and 21, that multiplied together give a triangular number (440391 = T938).

The spelling of 2097121 in words is "two million, ninety-seven thousand, one hundred twenty-one".

Divisors: 1 13 169 12409 161317 2097121