120765 has 16 divisors (see below), whose sum is σ = 197568. Its totient is φ = 62976.

The previous prime is 120763. The next prime is 120767. The reversal of 120765 is 567021.

It is an interprime number because it is at equal distance from previous prime (120763) and next prime (120767).

It is not a de Polignac number, because 120765 - 2¹ = 120763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2¹²⁰⁷⁶⁵ is an apocalyptic number.

120765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120765 is a deficient number, since it is larger than the sum of its proper divisors (76803).

120765 is an equidigital number, since it uses as much as digits as its factorization.

120765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 120765 is about 347.5125897000. The cubic root of 120765 is about 49.4288335555.

Adding to 120765 its sum of digits (21), we get a triangular number (120786 = T₄₉₁).

Adding to 120765 its reverse (567021), we get a palindrome (687786).

The spelling of 120765 in words is "one hundred twenty thousand, seven hundred sixty-five".