806382 has 32 divisors (see below), whose sum is σ = 1821600. Its totient is φ = 264384.

The previous prime is 806381. The next prime is 806383. The reversal of 806382 is 283608.

806382 = T₆₃ + T₆₄ + ... + T₁₇₁.

It is an interprime number because it is at equal distance from previous prime (806381) and next prime (806383).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5818 + ... + 5954.

It is an arithmetic number, because the mean of its divisors is an integer number (56925).

2⁸⁰⁶³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910800).

806382 is an abundant number, since it is smaller than the sum of its proper divisors (1015218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806382 is a wasteful number, since it uses less digits than its factorization.

806382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 806382 is about 897.9877504732. The cubic root of 806382 is about 93.0779783032.

It can be divided in two parts, 8063 and 82, that multiplied together give a palindrome (661166).

The spelling of 806382 in words is "eight hundred six thousand, three hundred eighty-two".