216629 has 6 divisors (see below), whose sum is σ = 252054. Its totient is φ = 185640.

The previous prime is 216617. The next prime is 216641. The reversal of 216629 is 926612.

It is an interprime number because it is at equal distance from previous prime (216617) and next prime (216641).

It can be written as a sum of positive squares in only one way, i.e., 207025 + 9604 = 455^2 + 98^2 .

It is not a de Polignac number, because 216629 - 2⁸ = 216373 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 216598 and 216607.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216629.

It is not an unprimeable number, because it can be changed into a prime (216649) 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, 2162 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (42009).

2²¹⁶⁶²⁹ is an apocalyptic number.

It is an amenable number.

216629 is a deficient number, since it is larger than the sum of its proper divisors (35425).

216629 is an equidigital number, since it uses as much as digits as its factorization.

216629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4428 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 216629 is about 465.4342058766. The cubic root of 216629 is about 60.0581842990.

The spelling of 216629 in words is "two hundred sixteen thousand, six hundred twenty-nine".