52769 has 2 divisors, whose sum is σ = 52770. Its totient is φ = 52768.

The previous prime is 52757. The next prime is 52783. The reversal of 52769 is 96725.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 12769 = 200^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 52769 - 2¹² = 48673 is a prime.

It is a super-2 number, since 2×52769² = 5569134722, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26384 + 26385.

It is an arithmetic number, because the mean of its divisors is an integer number (26385).

2⁵²⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

52769 is a deficient number, since it is larger than the sum of its proper divisors (1).

52769 is an equidigital number, since it uses as much as digits as its factorization.

52769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 29.

The square root of 52769 is about 229.7150408659. The cubic root of 52769 is about 37.5082056118.

Subtracting 52769 from its reverse (96725), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 527 and 69, that multiplied together give a palindrome (36363).

The spelling of 52769 in words is "fifty-two thousand, seven hundred sixty-nine".