122631 has 8 divisors (see below), whose sum is σ = 167664. Its totient is φ = 79680.

The previous prime is 122611. The next prime is 122651. The reversal of 122631 is 136221.

It is an interprime number because it is at equal distance from previous prime (122611) and next prime (122651).

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

It is not a de Polignac number, because 122631 - 2⁵ = 122599 is a prime.

It is a super-2 number, since 2×122631² = 30076724322, which contains 22 as substring.

122631 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 122631.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122631.

It is not an unprimeable number, because it can be changed into a prime (122611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (20958).

2¹²²⁶³¹ is an apocalyptic number.

122631 is a deficient number, since it is larger than the sum of its proper divisors (45033).

122631 is an equidigital number, since it uses as much as digits as its factorization.

122631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041.

The product of its digits is 72, while the sum is 15.

The square root of 122631 is about 350.1870928518. The cubic root of 122631 is about 49.6821166194.

Adding to 122631 its reverse (136221), we get a palindrome (258852).

The spelling of 122631 in words is "one hundred twenty-two thousand, six hundred thirty-one".