120591 has 6 divisors (see below), whose sum is σ = 174200. Its totient is φ = 80388.

The previous prime is 120587. The next prime is 120607. The reversal of 120591 is 195021.

It is not a de Polignac number, because 120591 - 2² = 120587 is a prime.

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 120591.

It is not an unprimeable number, because it can be changed into a prime (120511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6691 + ... + 6708.

2¹²⁰⁵⁹¹ is an apocalyptic number.

120591 is a deficient number, since it is larger than the sum of its proper divisors (53609).

120591 is a wasteful number, since it uses less digits than its factorization.

120591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 120591 is about 347.2621488156. The cubic root of 120591 is about 49.4050828800.

It can be divided in two parts, 1205 and 91, that added together give a 4-th power (1296 = 6⁴).

The spelling of 120591 in words is "one hundred twenty thousand, five hundred ninety-one".