120465 has 12 divisors (see below), whose sum is σ = 208884. Its totient is φ = 64224.

The previous prime is 120431. The next prime is 120473. The reversal of 120465 is 564021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 103041 = 132^2 + 321^2 .

It is not a de Polignac number, because 120465 - 2⁶ = 120401 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (17407).

2¹²⁰⁴⁶⁵ is an apocalyptic number.

120465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120465 is a deficient number, since it is larger than the sum of its proper divisors (88419).

120465 is a wasteful number, since it uses less digits than its factorization.

120465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120465 is about 347.0806822628. The cubic root of 120465 is about 49.3878698492.

Adding to 120465 its reverse (564021), we get a palindrome (684486).

Subtracting 120465 from its reverse (564021), we obtain a square (443556 = 666²).

It can be divided in two parts, 120 and 465, that added together give a palindrome (585).

The spelling of 120465 in words is "one hundred twenty thousand, four hundred sixty-five".