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54629 is a prime number
BaseRepresentation
bin1101010101100101
32202221022
431111211
53222004
61100525
7315161
oct152545
982838
1054629
1138053
1227745
131bb33
1415ca1
15112be
hexd565

54629 has 2 divisors, whose sum is σ = 54630. Its totient is φ = 54628.

The previous prime is 54623. The next prime is 54631. The reversal of 54629 is 92645.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49729 + 4900 = 223^2 + 70^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54629 is a prime.

Together with 54631, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54598 and 54607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27314 + 27315.

It is an arithmetic number, because the mean of its divisors is an integer number (27315).

254629 is an apocalyptic number.

It is an amenable number.

54629 is a deficient number, since it is larger than the sum of its proper divisors (1).

54629 is an equidigital number, since it uses as much as digits as its factorization.

54629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

The square root of 54629 is about 233.7284749448. The cubic root of 54629 is about 37.9438228087.

It can be divided in two parts, 546 and 29, that added together give a palindrome (575).

The spelling of 54629 in words is "fifty-four thousand, six hundred twenty-nine".