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54829 is a prime number
BaseRepresentation
bin1101011000101101
32210012201
431120231
53223304
61101501
7315565
oct153055
983181
1054829
1138215
1227891
131bc58
1415da5
15113a4
hexd62d

54829 has 2 divisors, whose sum is σ = 54830. Its totient is φ = 54828.

The previous prime is 54799. The next prime is 54833. The reversal of 54829 is 92845.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 15625 = 198^2 + 125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54797 and 54806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27414 + 27415.

It is an arithmetic number, because the mean of its divisors is an integer number (27415).

254829 is an apocalyptic number.

It is an amenable number.

54829 is a deficient number, since it is larger than the sum of its proper divisors (1).

54829 is an equidigital number, since it uses as much as digits as its factorization.

54829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

The square root of 54829 is about 234.1559309520. The cubic root of 54829 is about 37.9900712749.

The spelling of 54829 in words is "fifty-four thousand, eight hundred twenty-nine".