321602401 has 16 divisors (see below), whose sum is σ = 341462016. Its totient is φ = 302400000.

The previous prime is 321602383. The next prime is 321602459. The reversal of 321602401 is 104206123.

It is a 3-Lehmer number, since φ(321602401) divides (321602401-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 321602401 - 2⁷ = 321602273 is a prime.

It is a deceptive number, since it divides R_321602400.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321602471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509356 + ... + 509986.

It is an arithmetic number, because the mean of its divisors is an integer number (21341376).

It is a Poulet number, since it divides 2^321602400-1.

Almost surely, 2^321602401 is an apocalyptic number.

321602401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

321602401 is a deficient number, since it is larger than the sum of its proper divisors (19859615).

321602401 is a wasteful number, since it uses less digits than its factorization.

321602401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 321602401 is about 17933.2763598847. The cubic root of 321602401 is about 685.1301729276.

Adding to 321602401 its reverse (104206123), we get a palindrome (425808524).

It can be divided in two parts, 32160240 and 1, that added together give a square (32160241 = 5671²).

The spelling of 321602401 in words is "three hundred twenty-one million, six hundred two thousand, four hundred one".