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53993 is a prime number
BaseRepresentation
bin1101001011101001
32202001202
431023221
53211433
61053545
7313262
oct151351
982052
1053993
1137625
12272b5
131b764
1415969
1510ee8
hexd2e9

53993 has 2 divisors, whose sum is σ = 53994. Its totient is φ = 53992.

The previous prime is 53987. The next prime is 54001. The reversal of 53993 is 39935.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 169 = 232^2 + 13^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (53923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26996 + 26997.

It is an arithmetic number, because the mean of its divisors is an integer number (26997).

253993 is an apocalyptic number.

It is an amenable number.

53993 is a deficient number, since it is larger than the sum of its proper divisors (1).

53993 is an equidigital number, since it uses as much as digits as its factorization.

53993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3645, while the sum is 29.

The square root of 53993 is about 232.3639386824. The cubic root of 53993 is about 37.7959981953.

The spelling of 53993 in words is "fifty-three thousand, nine hundred ninety-three".