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5953 is a prime number
BaseRepresentation
bin1011101000001
322011111
41131001
5142303
643321
723233
oct13501
98144
105953
114522
123541
13292c
142253
151b6d
hex1741

5953 has 2 divisors, whose sum is σ = 5954. Its totient is φ = 5952.

The previous prime is 5939. The next prime is 5981. The reversal of 5953 is 3595.

It is the 32-nd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3249 + 2704 = 57^2 + 52^2 .

5953 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 5953 - 29 = 5441 is a prime.

It is a nialpdrome in base 6.

It is not a weakly prime, because it can be changed into another prime (5903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2976 + 2977.

It is an arithmetic number, because the mean of its divisors is an integer number (2977).

25953 is an apocalyptic number.

It is an amenable number.

5953 is a deficient number, since it is larger than the sum of its proper divisors (1).

5953 is an equidigital number, since it uses as much as digits as its factorization.

5953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 675, while the sum is 22.

The square root of 5953 is about 77.1556867638. The cubic root of 5953 is about 18.1236344592.

The spelling of 5953 in words is "five thousand, nine hundred fifty-three".