321126 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 93984.

The previous prime is 321109. The next prime is 321143. The reversal of 321126 is 621123.

321126 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (321109) and next prime (321143).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

321126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³²¹¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

321126 is an abundant number, since it is smaller than the sum of its proper divisors (404634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321126 is a wasteful number, since it uses less digits than its factorization.

321126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

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

The square root of 321126 is about 566.6798037693. The cubic root of 321126 is about 68.4791703232.

Adding to 321126 its reverse (621123), we get a palindrome (942249).

The spelling of 321126 in words is "three hundred twenty-one thousand, one hundred twenty-six".