362820 has 24 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 96736.

The previous prime is 362801. The next prime is 362851. The reversal of 362820 is 28263.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362820.

It is an unprimeable number.

362820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2964 + ... + 3083.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

2³⁶²⁸²⁰ is an apocalyptic number.

362820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

362820 is an abundant number, since it is smaller than the sum of its proper divisors (653244).

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

362820 is a wasteful number, since it uses less digits than its factorization.

362820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 362820 is about 602.3454158537. The cubic root of 362820 is about 71.3231320512.

The spelling of 362820 in words is "three hundred sixty-two thousand, eight hundred twenty".