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2117617 = 19111087
BaseRepresentation
bin1000000100111111110001
310222120211021
420010333301
51020230432
6113215441
723666545
oct10047761
93876737
102117617
111216aa7
12861581
13591b38
143d1a25
152bc697
hex204ff1

2117617 has 4 divisors (see below), whose sum is σ = 2128896. Its totient is φ = 2106340.

The previous prime is 2117611. The next prime is 2117623. The reversal of 2117617 is 7167112.

2117617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (2117611) and next prime (2117623).

It is a cyclic number.

It is not a de Polignac number, because 2117617 - 219 = 1593329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2117591 and 2117600.

It is not an unprimeable number, because it can be changed into a prime (2117611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5353 + ... + 5734.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

22117617 is an apocalyptic number.

It is an amenable number.

2117617 is a deficient number, since it is larger than the sum of its proper divisors (11279).

2117617 is a wasteful number, since it uses less digits than its factorization.

2117617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11278.

The product of its digits is 588, while the sum is 25.

The square root of 2117617 is about 1455.2034222060. The cubic root of 2117617 is about 128.4150144352.

The spelling of 2117617 in words is "two million, one hundred seventeen thousand, six hundred seventeen".

Divisors: 1 191 11087 2117617