Search a number
-
+
2197631 is a prime number
BaseRepresentation
bin1000011000100001111111
311010122120202
420120201333
51030311011
6115034115
724452042
oct10304177
94118522
102197631
111271127
1289b93b
135bc397
14412c59
152d623b
hex21887f

2197631 has 2 divisors, whose sum is σ = 2197632. Its totient is φ = 2197630.

The previous prime is 2197609. The next prime is 2197633. The reversal of 2197631 is 1367912.

2197631 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 is a cyclic number.

It is not a de Polignac number, because 2197631 - 26 = 2197567 is a prime.

It is a super-2 number, since 2×21976312 = 9659164024322, which contains 22 as substring.

Together with 2197633, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2197594 and 2197603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2197633) 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, 1098815 + 1098816.

It is an arithmetic number, because the mean of its divisors is an integer number (1098816).

22197631 is an apocalyptic number.

2197631 is a deficient number, since it is larger than the sum of its proper divisors (1).

2197631 is an equidigital number, since it uses as much as digits as its factorization.

2197631 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 29.

The square root of 2197631 is about 1482.4408925822. The cubic root of 2197631 is about 130.0124445680.

The spelling of 2197631 in words is "two million, one hundred ninety-seven thousand, six hundred thirty-one".