120581 has 8 divisors (see below), whose sum is σ = 131544. Its totient is φ = 110080.

The previous prime is 120577. The next prime is 120587. The reversal of 120581 is 185021.

It can be written as a sum of positive squares in 4 ways, for example, as 27556 + 93025 = 166^2 + 305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120581 - 2² = 120577 is a prime.

It is a super-2 number, since 2×120581² = 29079555122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120581.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (16443).

2¹²⁰⁵⁸¹ is an apocalyptic number.

It is an amenable number.

120581 is a deficient number, since it is larger than the sum of its proper divisors (10963).

120581 is a wasteful number, since it uses less digits than its factorization.

120581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 120581 is about 347.2477501727. The cubic root of 120581 is about 49.4037172046.

The spelling of 120581 in words is "one hundred twenty thousand, five hundred eighty-one".