65629 has 2 divisors, whose sum is σ = 65630. Its totient is φ = 65628.

The previous prime is 65617. The next prime is 65633. The reversal of 65629 is 92656.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55225 + 10404 = 235^2 + 102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65629 is a prime.

65629 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 65597 and 65606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32814 + 32815.

It is an arithmetic number, because the mean of its divisors is an integer number (32815).

2⁶⁵⁶²⁹ is an apocalyptic number.

It is an amenable number.

65629 is a deficient number, since it is larger than the sum of its proper divisors (1).

65629 is an equidigital number, since it uses as much as digits as its factorization.

65629 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 65629 is about 256.1815762306. The cubic root of 65629 is about 40.3365356533.

The spelling of 65629 in words is "sixty-five thousand, six hundred twenty-nine".