629973 has 6 divisors (see below), whose sum is σ = 909974. Its totient is φ = 419976.

The previous prime is 629963. The next prime is 629977. The reversal of 629973 is 379926.

It can be written as a sum of positive squares in only one way, i.e., 603729 + 26244 = 777^2 + 162^2 .

It is not a de Polignac number, because 629973 - 2¹⁶ = 564437 is a prime.

It is a super-3 number, since 3×629973³ = 750044557433370951, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629977) 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 5 ways as a sum of consecutive naturals, for example, 34990 + ... + 35007.

2⁶²⁹⁹⁷³ is an apocalyptic number.

It is an amenable number.

629973 is a deficient number, since it is larger than the sum of its proper divisors (280001).

629973 is a wasteful number, since it uses less digits than its factorization.

629973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70003 (or 70000 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 629973 is about 793.7083847359. The cubic root of 629973 is about 85.7249641458.

Subtracting from 629973 its reverse (379926), we obtain a cube (250047 = 63³).

The spelling of 629973 in words is "six hundred twenty-nine thousand, nine hundred seventy-three".