382500 has 90 divisors (see below), whose sum is σ = 1279278. Its totient is φ = 96000.

The previous prime is 382493. The next prime is 382507. The reversal of 382500 is 5283.

382500 = T₉₁ + T₉₂ + ... + T₁₄₄.

382500 = 16³ + 17³ + ... + 35³.

It is an interprime number because it is at equal distance from previous prime (382493) and next prime (382507).

It can be written as a sum of positive squares in 5 ways, for example, as 97344 + 285156 = 312^2 + 534^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382500.

It is not an unprimeable number, because it can be changed into a prime (382507) by changing a digit.

382500 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, 22492 + ... + 22508.

2³⁸²⁵⁰⁰ is an apocalyptic number.

382500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639639).

382500 is an abundant number, since it is smaller than the sum of its proper divisors (896778).

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

382500 is a wasteful number, since it uses less digits than its factorization.

382500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 382500 is about 618.4658438426. The cubic root of 382500 is about 72.5900585162.

Adding to 382500 its reverse (5283), we get a palindrome (387783).

The spelling of 382500 in words is "three hundred eighty-two thousand, five hundred".