120967 has 8 divisors (see below), whose sum is σ = 150912. Its totient is φ = 94200.

The previous prime is 120947. The next prime is 120977. The reversal of 120967 is 769021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120967 is a prime.

It is a Duffinian number.

120967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709 + ... + 862.

It is an arithmetic number, because the mean of its divisors is an integer number (18864).

2¹²⁰⁹⁶⁷ is an apocalyptic number.

120967 is a deficient number, since it is larger than the sum of its proper divisors (29945).

120967 is a wasteful number, since it uses less digits than its factorization.

120967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 120967 is about 347.8031052190. The cubic root of 120967 is about 49.4563775805.

Adding to 120967 its reverse (769021), we get a palindrome (889988).

It can be divided in two parts, 1209 and 67, that multiplied together give a triangular number (81003 = T₄₀₂).

The spelling of 120967 in words is "one hundred twenty thousand, nine hundred sixty-seven".