667629 has 16 divisors (see below), whose sum is σ = 1004800. Its totient is φ = 438048.

The previous prime is 667577. The next prime is 667631. The reversal of 667629 is 926766.

It is not a de Polignac number, because 667629 - 2⁷ = 667501 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 667593 and 667602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1977 + ... + 2289.

It is an arithmetic number, because the mean of its divisors is an integer number (62800).

2⁶⁶⁷⁶²⁹ is an apocalyptic number.

It is an amenable number.

667629 is a deficient number, since it is larger than the sum of its proper divisors (337171).

667629 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (667628) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (401).

667629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 667629 is about 817.0856748224. The cubic root of 667629 is about 87.4000600446.

It can be divided in two parts, 667 and 629, that added together give a 4-th power (1296 = 6⁴).

The spelling of 667629 in words is "six hundred sixty-seven thousand, six hundred twenty-nine".