82890 has 32 divisors (see below), whose sum is σ = 221760. Its totient is φ = 22032.

The previous prime is 82889. The next prime is 82891. The reversal of 82890 is 9828.

It is an interprime number because it is at equal distance from previous prime (82889) and next prime (82891).

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 (82891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁸²⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

82890 is an abundant number, since it is smaller than the sum of its proper divisors (138870).

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

82890 is a wasteful number, since it uses less digits than its factorization.

82890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82890 is about 287.9062347362. The cubic root of 82890 is about 43.6014280036.

The spelling of 82890 in words is "eighty-two thousand, eight hundred ninety".