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56629 is a prime number
BaseRepresentation
bin1101110100110101
32212200101
431310311
53303004
61114101
7324046
oct156465
985611
1056629
1139601
1228931
131ca11
14168cd
1511ba4
hexdd35

56629 has 2 divisors, whose sum is σ = 56630. Its totient is φ = 56628.

The previous prime is 56611. The next prime is 56633. The reversal of 56629 is 92665.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46225 + 10404 = 215^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 56629 - 25 = 56597 is a prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 56597 and 56606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28314 + 28315.

It is an arithmetic number, because the mean of its divisors is an integer number (28315).

256629 is an apocalyptic number.

It is an amenable number.

56629 is a deficient number, since it is larger than the sum of its proper divisors (1).

56629 is an equidigital number, since it uses as much as digits as its factorization.

56629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3240, while the sum is 28.

The square root of 56629 is about 237.9684853085. The cubic root of 56629 is about 38.4013327807.

It can be divided in two parts, 5662 and 9, that added together give a triangular number (5671 = T106).

The spelling of 56629 in words is "fifty-six thousand, six hundred twenty-nine".