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2133973 is a prime number
BaseRepresentation
bin1000001000111111010101
311000102021001
420020333111
51021241343
6113423301
724065332
oct10107725
94012231
102133973
111228316
1286ab31
1359940a
143d7989
152c244d
hex208fd5

2133973 has 2 divisors, whose sum is σ = 2133974. Its totient is φ = 2133972.

The previous prime is 2133949. The next prime is 2133991. The reversal of 2133973 is 3793312.

2133973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1129969 + 1004004 = 1063^2 + 1002^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133973 - 221 = 36821 is a prime.

2133973 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133673) 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 as a sum of consecutive naturals, namely, 1066986 + 1066987.

It is an arithmetic number, because the mean of its divisors is an integer number (1066987).

22133973 is an apocalyptic number.

It is an amenable number.

2133973 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133973 is an equidigital number, since it uses as much as digits as its factorization.

2133973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 28.

The square root of 2133973 is about 1460.8124451825. The cubic root of 2133973 is about 128.7447831487.

It can be divided in two parts, 21339 and 73, that added together give a palindrome (21412).

The spelling of 2133973 in words is "two million, one hundred thirty-three thousand, nine hundred seventy-three".