10629 has 6 divisors (see below), whose sum is σ = 15366. Its totient is φ = 7080.

The previous prime is 10627. The next prime is 10631. The reversal of 10629 is 92601.

10629 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10627) and next prime (10631).

It can be written as a sum of positive squares in only one way, i.e., 10404 + 225 = 102^2 + 15^2 .

It is not a de Polignac number, because 10629 - 2¹ = 10627 is a prime.

It is a super-2 number, since 2×10629² = 225951282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 582 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (2561).

2¹⁰⁶²⁹ is an apocalyptic number.

It is an amenable number.

10629 is a deficient number, since it is larger than the sum of its proper divisors (4737).

10629 is a wasteful number, since it uses less digits than its factorization.

10629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10629 is about 103.0970416646. The cubic root of 10629 is about 21.9869068097.

The spelling of 10629 in words is "ten thousand, six hundred twenty-nine".