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2164417 is a prime number
BaseRepresentation
bin1000010000011011000001
311001222000121
420100123001
51023230132
6114220241
724253153
oct10203301
94058017
102164417
111249182
12884681
135aa228
14404ad3
152cb497
hex2106c1

2164417 has 2 divisors, whose sum is σ = 2164418. Its totient is φ = 2164416.

The previous prime is 2164399. The next prime is 2164429. The reversal of 2164417 is 7144612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2163841 + 576 = 1471^2 + 24^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2164417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2164391 and 2164400.

It is not a weakly prime, because it can be changed into another prime (2164447) 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 as a sum of consecutive naturals, namely, 1082208 + 1082209.

It is an arithmetic number, because the mean of its divisors is an integer number (1082209).

22164417 is an apocalyptic number.

It is an amenable number.

2164417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164417 is an equidigital number, since it uses as much as digits as its factorization.

2164417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 25.

The square root of 2164417 is about 1471.1957721527. The cubic root of 2164417 is about 129.3541337986.

The spelling of 2164417 in words is "two million, one hundred sixty-four thousand, four hundred seventeen".