386802 has 64 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 108864.

The previous prime is 386777. The next prime is 386809. The reversal of 386802 is 208683.

386802 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (386809) by changing a digit.

386802 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 31 ways as a sum of consecutive naturals, for example, 13324 + ... + 13352.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2³⁸⁶⁸⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

386802 is an abundant number, since it is smaller than the sum of its proper divisors (621198).

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

386802 is a wasteful number, since it uses less digits than its factorization.

386802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

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

The square root of 386802 is about 621.9340801082. The cubic root of 386802 is about 72.8611861325.

The spelling of 386802 in words is "three hundred eighty-six thousand, eight hundred two".