122967 has 12 divisors (see below), whose sum is σ = 191464. Its totient is φ = 75600.

The previous prime is 122963. The next prime is 122971. The reversal of 122967 is 769221.

It is an interprime number because it is at equal distance from previous prime (122963) and next prime (122971).

It is not a de Polignac number, because 122967 - 2² = 122963 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 122967.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409 + ... + 642.

2¹²²⁹⁶⁷ is an apocalyptic number.

122967 is a deficient number, since it is larger than the sum of its proper divisors (68497).

122967 is a wasteful number, since it uses less digits than its factorization.

122967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1067 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 122967 is about 350.6665082382. Note that the first 3 decimals coincide. The cubic root of 122967 is about 49.7274503667.

It can be divided in two parts, 1229 and 67, that added together give a 4-th power (1296 = 6⁴).

The spelling of 122967 in words is "one hundred twenty-two thousand, nine hundred sixty-seven".