120582 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 30240.

The previous prime is 120577. The next prime is 120587. The reversal of 120582 is 285021.

It is an interprime number because it is at equal distance from previous prime (120577) and next prime (120587).

It is a super-3 number, since 3×120582³ = 5259793613332104, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120587) by changing a digit.

120582 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, 4144 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2¹²⁰⁵⁸² is an apocalyptic number.

120582 is the 174-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

120582 is an abundant number, since it is smaller than the sum of its proper divisors (225018).

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

120582 is a wasteful number, since it uses less digits than its factorization.

120582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120582 is about 347.2491900639. The cubic root of 120582 is about 49.4038537755.

The spelling of 120582 in words is "one hundred twenty thousand, five hundred eighty-two".