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966378253 is a prime number
BaseRepresentation
bin111001100110011…
…100001100001101
32111100102002202011
4321212130030031
53434343101003
6235520501221
732643036211
oct7146341415
92440362664
10966378253
1145654a315
1222b77a811
13125297869
14924b8941
1559c8e46d
hex3999c30d

966378253 has 2 divisors, whose sum is σ = 966378254. Its totient is φ = 966378252.

The previous prime is 966378251. The next prime is 966378269. The reversal of 966378253 is 352873669.

It is a happy number.

966378253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 916999524 + 49378729 = 30282^2 + 7027^2 .

It is a cyclic number.

It is not a de Polignac number, because 966378253 - 21 = 966378251 is a prime.

Together with 966378251, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 966378197 and 966378206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (966378251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483189126 + 483189127.

It is an arithmetic number, because the mean of its divisors is an integer number (483189127).

Almost surely, 2966378253 is an apocalyptic number.

966378253 is the 16617-th centered heptagonal number.

It is an amenable number.

966378253 is a deficient number, since it is larger than the sum of its proper divisors (1).

966378253 is an equidigital number, since it uses as much as digits as its factorization.

966378253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1632960, while the sum is 49.

The square root of 966378253 is about 31086.6249856751. The cubic root of 966378253 is about 988.6647485557.

The spelling of 966378253 in words is "nine hundred sixty-six million, three hundred seventy-eight thousand, two hundred fifty-three".