827638 has 16 divisors (see below), whose sum is σ = 1465344. Its totient is φ = 343080.

The previous prime is 827633. The next prime is 827639. The reversal of 827638 is 836728.

It is a happy number.

827638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827633) by changing a digit.

827638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520 + ... + 1387.

It is an arithmetic number, because the mean of its divisors is an integer number (91584).

2⁸²⁷⁶³⁸ is an apocalyptic number.

827638 is a deficient number, since it is larger than the sum of its proper divisors (637706).

827638 is a wasteful number, since it uses less digits than its factorization.

827638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947.

The product of its digits is 16128, while the sum is 34.

The square root of 827638 is about 909.7461184309. The cubic root of 827638 is about 93.8887320832. Note that the first 3 decimals are identical.

The spelling of 827638 in words is "eight hundred twenty-seven thousand, six hundred thirty-eight".