116827821 has 24 divisors (see below), whose sum is σ = 184669056. Its totient is φ = 70583040.

The previous prime is 116827793. The next prime is 116827849. The reversal of 116827821 is 128728611.

It is an interprime number because it is at equal distance from previous prime (116827793) and next prime (116827849).

It is not a de Polignac number, because 116827821 - 2⁹ = 116827309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116827421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33276 + ... + 36618.

It is an arithmetic number, because the mean of its divisors is an integer number (7694544).

Almost surely, 2^116827821 is an apocalyptic number.

116827821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

116827821 is a deficient number, since it is larger than the sum of its proper divisors (67841235).

116827821 is a wasteful number, since it uses less digits than its factorization.

116827821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3710 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 116827821 is about 10808.6919190067. The cubic root of 116827821 is about 488.8572858149.

It can be divided in two parts, 11682 and 7821, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 116827821 in words is "one hundred sixteen million, eight hundred twenty-seven thousand, eight hundred twenty-one".