63629 has 2 divisors, whose sum is σ = 63630. Its totient is φ = 63628.

The previous prime is 63617. The next prime is 63647. The reversal of 63629 is 92636.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51529 + 12100 = 227^2 + 110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-63629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63598 and 63607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31814 + 31815.

It is an arithmetic number, because the mean of its divisors is an integer number (31815).

2⁶³⁶²⁹ is an apocalyptic number.

It is an amenable number.

63629 is a deficient number, since it is larger than the sum of its proper divisors (1).

63629 is an equidigital number, since it uses as much as digits as its factorization.

63629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 26.

The square root of 63629 is about 252.2478939456. The cubic root of 63629 is about 39.9225585004.

The spelling of 63629 in words is "sixty-three thousand, six hundred twenty-nine".