213629 has 4 divisors (see below), whose sum is σ = 230076. Its totient is φ = 197184.

The previous prime is 213623. The next prime is 213637. The reversal of 213629 is 926312.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 136900 + 76729 = 370^2 + 277^2 .

It is not a de Polignac number, because 213629 - 2⁴ = 213613 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8204 + ... + 8229.

It is an arithmetic number, because the mean of its divisors is an integer number (57519).

2²¹³⁶²⁹ is an apocalyptic number.

It is an amenable number.

213629 is a deficient number, since it is larger than the sum of its proper divisors (16447).

213629 is a wasteful number, since it uses less digits than its factorization.

213629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16446.

The product of its digits is 648, while the sum is 23.

The square root of 213629 is about 462.2001730852. The cubic root of 213629 is about 59.7796547531.

It can be divided in two parts, 2 and 13629, that added together give a palindrome (13631).

The spelling of 213629 in words is "two hundred thirteen thousand, six hundred twenty-nine".