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53759 is a prime number
BaseRepresentation
bin1101000111111111
32201202002
431013333
53210014
61052515
7312506
oct150777
981662
1053759
1137432
122713b
131b614
141583d
1510dde
hexd1ff

53759 has 2 divisors, whose sum is σ = 53760. Its totient is φ = 53758.

The previous prime is 53731. The next prime is 53773. The reversal of 53759 is 95735.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 53759 - 28 = 53503 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26879 + 26880.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

253759 is an apocalyptic number.

53759 is a deficient number, since it is larger than the sum of its proper divisors (1).

53759 is an equidigital number, since it uses as much as digits as its factorization.

53759 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4725, while the sum is 29.

The square root of 53759 is about 231.8598714741. The cubic root of 53759 is about 37.7413178285.

The spelling of 53759 in words is "fifty-three thousand, seven hundred fifty-nine".