64629 has 12 divisors (see below), whose sum is σ = 96096. Its totient is φ = 41832.

The previous prime is 64627. The next prime is 64633. The reversal of 64629 is 92646.

It is not a de Polignac number, because 64629 - 2¹ = 64627 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (2592) is a multiple of the sum of its prime factors (216).

64629 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2⁶⁴⁶²⁹ is an apocalyptic number.

It is an amenable number.

64629 is a deficient number, since it is larger than the sum of its proper divisors (31467).

64629 is a wasteful number, since it uses less digits than its factorization.

64629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 64629 is about 254.2223436286. Note that the first 3 decimals coincide. The cubic root of 64629 is about 40.1306146975.

The spelling of 64629 in words is "sixty-four thousand, six hundred twenty-nine".