838629 has 24 divisors (see below), whose sum is σ = 1359072. Its totient is φ = 493920.

The previous prime is 838613. The next prime is 838631. The reversal of 838629 is 926838.

It is not a de Polignac number, because 838629 - 2⁴ = 838613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 838593 and 838602.

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 838629.

It is not an unprimeable number, because it can be changed into a prime (838609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4159 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (56628).

2⁸³⁸⁶²⁹ is an apocalyptic number.

It is an amenable number.

838629 is a deficient number, since it is larger than the sum of its proper divisors (520443).

838629 is a wasteful number, since it uses less digits than its factorization.

838629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 838629 is about 915.7668917361. The cubic root of 838629 is about 94.3025186498.

Subtracting 838629 from its reverse (926838), we obtain a square (88209 = 297²).

The spelling of 838629 in words is "eight hundred thirty-eight thousand, six hundred twenty-nine".