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52709 is a prime number
BaseRepresentation
bin1100110111100101
32200022012
430313211
53141314
61044005
7306446
oct146745
980265
1052709
1136668
1226605
131acb7
14152cd
151093e
hexcde5

52709 has 2 divisors, whose sum is σ = 52710. Its totient is φ = 52708.

The previous prime is 52697. The next prime is 52711. The reversal of 52709 is 90725.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 21025 = 178^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 52709 - 28 = 52453 is a prime.

Together with 52711, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 55 + 215 + 75 + 0 + 9 .

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

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26354 + 26355.

It is an arithmetic number, because the mean of its divisors is an integer number (26355).

252709 is an apocalyptic number.

It is an amenable number.

52709 is a deficient number, since it is larger than the sum of its proper divisors (1).

52709 is an equidigital number, since it uses as much as digits as its factorization.

52709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 52709 is about 229.5844071360. The cubic root of 52709 is about 37.4939842202.

The spelling of 52709 in words is "fifty-two thousand, seven hundred nine".