827966 has 16 divisors (see below), whose sum is σ = 1294704. Its totient is φ = 396864.

The previous prime is 827941. The next prime is 827969. The reversal of 827966 is 669728.

827966 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 (827969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7685 + ... + 7791.

It is an arithmetic number, because the mean of its divisors is an integer number (80919).

2⁸²⁷⁹⁶⁶ is an apocalyptic number.

827966 is a deficient number, since it is larger than the sum of its proper divisors (466738).

827966 is a wasteful number, since it uses less digits than its factorization.

827966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235.

The product of its digits is 36288, while the sum is 38.

The square root of 827966 is about 909.9263706476. The cubic root of 827966 is about 93.9011334136.

The spelling of 827966 in words is "eight hundred twenty-seven thousand, nine hundred sixty-six".