199629 has 12 divisors (see below), whose sum is σ = 295932. Its totient is φ = 129600.

The previous prime is 199621. The next prime is 199637. The reversal of 199629 is 926991.

It is an interprime number because it is at equal distance from previous prime (199621) and next prime (199637).

It can be written as a sum of positive squares in 2 ways, for example, as 38025 + 161604 = 195^2 + 402^2 .

It is not a de Polignac number, because 199629 - 2³ = 199621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 199593 and 199602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (24661).

2¹⁹⁹⁶²⁹ is an apocalyptic number.

It is an amenable number.

199629 is a deficient number, since it is larger than the sum of its proper divisors (96303).

199629 is a wasteful number, since it uses less digits than its factorization.

199629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 585 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 199629 is about 446.7986123524. The cubic root of 199629 is about 58.4441720293. Note that the first 3 decimals are identical.

It can be divided in two parts, 1996 and 29, that added together give a square (2025 = 45²).

The spelling of 199629 in words is "one hundred ninety-nine thousand, six hundred twenty-nine".