122667 has 8 divisors (see below), whose sum is σ = 168960. Its totient is φ = 79080.

The previous prime is 122663. The next prime is 122693. The reversal of 122667 is 766221.

It is a happy number.

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

It is not a de Polignac number, because 122667 - 2² = 122663 is a prime.

122667 is a lucky number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (122663) 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, 567 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (21120).

2¹²²⁶⁶⁷ is an apocalyptic number.

122667 is a deficient number, since it is larger than the sum of its proper divisors (46293).

122667 is a wasteful number, since it uses less digits than its factorization.

122667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353.

The product of its digits is 1008, while the sum is 24.

The square root of 122667 is about 350.2384901749. The cubic root of 122667 is about 49.6869777644.

Adding to 122667 its reverse (766221), we get a palindrome (888888).

The spelling of 122667 in words is "one hundred twenty-two thousand, six hundred sixty-seven".