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400853 is a prime number
BaseRepresentation
bin1100001110111010101
3202100212102
41201313111
5100311403
612331445
73256445
oct1416725
9670772
10400853
11254192
12173b85
131105bb
14a6125
157db88
hex61dd5

400853 has 2 divisors, whose sum is σ = 400854. Its totient is φ = 400852.

The previous prime is 400849. The next prime is 400859. The reversal of 400853 is 358004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380689 + 20164 = 617^2 + 142^2 .

It is a cyclic number.

It is not a de Polignac number, because 400853 - 22 = 400849 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400853.

It is not a weakly prime, because it can be changed into another prime (400859) 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, 200426 + 200427.

It is an arithmetic number, because the mean of its divisors is an integer number (200427).

2400853 is an apocalyptic number.

It is an amenable number.

400853 is a deficient number, since it is larger than the sum of its proper divisors (1).

400853 is an equidigital number, since it uses as much as digits as its factorization.

400853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 400853 is about 633.1295286116. The cubic root of 400853 is about 73.7329674350.

Adding to 400853 its reverse (358004), we get a palindrome (758857).

Subtracting from 400853 its reverse (358004), we obtain a square (42849 = 2072).

The spelling of 400853 in words is "four hundred thousand, eight hundred fifty-three".