827919 has 12 divisors (see below), whose sum is σ = 1214616. Its totient is φ = 543312.

The previous prime is 827903. The next prime is 827923. The reversal of 827919 is 919728.

It is a happy number.

It is not a de Polignac number, because 827919 - 2⁴ = 827903 is a prime.

It is a super-2 number, since 2×827919² = 1370899741122, which contains 22 as substring.

827919 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (101218).

2⁸²⁷⁹¹⁹ is an apocalyptic number.

827919 is a deficient number, since it is larger than the sum of its proper divisors (386697).

827919 is a wasteful number, since it uses less digits than its factorization.

827919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1443 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 827919 is about 909.9005440157. The cubic root of 827919 is about 93.8993565948.

Subtracting 827919 from its reverse (919728), we obtain a square (91809 = 303²).

It can be divided in two parts, 82 and 7919, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 827919 in words is "eight hundred twenty-seven thousand, nine hundred nineteen".