383220 has 36 divisors (see below), whose sum is σ = 1162980. Its totient is φ = 102144.

The previous prime is 383219. The next prime is 383221. The reversal of 383220 is 22383.

It is an interprime number because it is at equal distance from previous prime (383219) and next prime (383221).

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 266256 = 342^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 383193 and 383202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 885 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (32305).

2³⁸³²²⁰ is an apocalyptic number.

383220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

383220 is an abundant number, since it is smaller than the sum of its proper divisors (779760).

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

383220 is a wasteful number, since it uses less digits than its factorization.

383220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 383220 is about 619.0476556777. The cubic root of 383220 is about 72.6355766711.

The spelling of 383220 in words is "three hundred eighty-three thousand, two hundred twenty".