803682 has 60 divisors (see below), whose sum is σ = 2027718. Its totient is φ = 237600.

The previous prime is 803669. The next prime is 803687. The reversal of 803682 is 286308.

It can be written as a sum of positive squares in only one way, i.e., 793881 + 9801 = 891^2 + 99^2 .

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

It is not an unprimeable number, because it can be changed into a prime (803687) by changing a digit.

803682 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 29 ways as a sum of consecutive naturals, for example, 19582 + ... + 19622.

2⁸⁰³⁶⁸² is an apocalyptic number.

803682 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 803682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013859).

803682 is an abundant number, since it is smaller than the sum of its proper divisors (1224036).

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

803682 is a wasteful number, since it uses less digits than its factorization.

803682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

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

The square root of 803682 is about 896.4831286756. The cubic root of 803682 is about 92.9739781515.

It can be divided in two parts, 8036 and 82, that added together give a palindrome (8118).

The spelling of 803682 in words is "eight hundred three thousand, six hundred eighty-two".