120933 has 10 divisors (see below), whose sum is σ = 180774. Its totient is φ = 80568.

The previous prime is 120929. The next prime is 120937. The reversal of 120933 is 339021.

120933 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (120929) and next prime (120937).

It can be written as a sum of positive squares in only one way, i.e., 116964 + 3969 = 342^2 + 63^2 .

It is not a de Polignac number, because 120933 - 2² = 120929 is a prime.

It is a Curzon number.

120933 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120937) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 666 + ... + 827.

2¹²⁰⁹³³ is an apocalyptic number.

It is an amenable number.

120933 is a deficient number, since it is larger than the sum of its proper divisors (59841).

120933 is an equidigital number, since it uses as much as digits as its factorization.

120933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 120933 is about 347.7542235545. The cubic root of 120933 is about 49.4517436049.

Adding to 120933 its reverse (339021), we get a palindrome (459954).

The spelling of 120933 in words is "one hundred twenty thousand, nine hundred thirty-three".