120582361 has 9 divisors (see below), whose sum is σ = 123012981. Its totient is φ = 118199484.

The previous prime is 120582337. The next prime is 120582373. The reversal of 120582361 is 163285021.

The square root of 120582361 is 10981.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 120582361 - 2⁷ = 120582233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120582391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 867430 + ... + 867568.

It is an arithmetic number, because the mean of its divisors is an integer number (13668109).

Almost surely, 2^120582361 is an apocalyptic number.

120582361 is the 10981-st square number.

120582361 is the 5491-st centered octagonal number.

It is an amenable number.

120582361 is a deficient number, since it is larger than the sum of its proper divisors (2430620).

120582361 is an frugal number, since it uses more digits than its factorization.

120582361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The cubic root of 120582361 is about 494.0390307745.

The spelling of 120582361 in words is "one hundred twenty million, five hundred eighty-two thousand, three hundred sixty-one".