838827 has 24 divisors (see below), whose sum is σ = 1363440. Its totient is φ = 492480.

The previous prime is 838813. The next prime is 838837. The reversal of 838827 is 728838.

It is not a de Polignac number, because 838827 - 2⁸ = 838571 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 838791 and 838800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3549 + ... + 3777.

It is an arithmetic number, because the mean of its divisors is an integer number (56810).

2⁸³⁸⁸²⁷ is an apocalyptic number.

838827 is a deficient number, since it is larger than the sum of its proper divisors (524613).

838827 is a wasteful number, since it uses less digits than its factorization.

838827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 280 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 838827 is about 915.8749914699. The cubic root of 838827 is about 94.3099396625.

The spelling of 838827 in words is "eight hundred thirty-eight thousand, eight hundred twenty-seven".