122961 has 8 divisors (see below), whose sum is σ = 173664. Its totient is φ = 77120.

The previous prime is 122957. The next prime is 122963. The reversal of 122961 is 169221.

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

It is a cyclic number.

It is not a de Polignac number, because 122961 - 2² = 122957 is a prime.

122961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (122963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1155 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (21708).

2¹²²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

122961 is a deficient number, since it is larger than the sum of its proper divisors (50703).

122961 is a wasteful number, since it uses less digits than its factorization.

122961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431.

The product of its digits is 216, while the sum is 21.

The square root of 122961 is about 350.6579529969. The cubic root of 122961 is about 49.7266415602.

The spelling of 122961 in words is "one hundred twenty-two thousand, nine hundred sixty-one".