321642 has 24 divisors (see below), whose sum is σ = 707616. Its totient is φ = 105576.

The previous prime is 321631. The next prime is 321647. The reversal of 321642 is 246123.

It is a happy number.

321642 is a `hidden beast` number, since 3 + 21 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3⁶ + 2¹³ + 6⁷ + 1 + 4² + 2¹⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321642.

It is not an unprimeable number, because it can be changed into a prime (321647) by changing a digit.

321642 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 11 ways as a sum of consecutive naturals, for example, 1843 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2³²¹⁶⁴² is an apocalyptic number.

321642 is an abundant number, since it is smaller than the sum of its proper divisors (385974).

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

321642 is a wasteful number, since it uses less digits than its factorization.

321642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 321642 is about 567.1349045862. The cubic root of 321642 is about 68.5158291868.

Adding to 321642 its reverse (246123), we get a palindrome (567765).

The spelling of 321642 in words is "three hundred twenty-one thousand, six hundred forty-two".