321129993 has 16 divisors (see below), whose sum is σ = 445780736. Its totient is φ = 205441920.

The previous prime is 321129989. The next prime is 321129997. The reversal of 321129993 is 399921123.

It is an interprime number because it is at equal distance from previous prime (321129989) and next prime (321129997).

It is not a de Polignac number, because 321129993 - 2² = 321129989 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (321129997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11713 + ... + 27918.

It is an arithmetic number, because the mean of its divisors is an integer number (27861296).

Almost surely, 2^321129993 is an apocalyptic number.

It is an amenable number.

321129993 is a deficient number, since it is larger than the sum of its proper divisors (124650743).

321129993 is a wasteful number, since it uses less digits than its factorization.

321129993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39744.

The product of its digits is 26244, while the sum is 39.

The square root of 321129993 is about 17920.1002508357. The cubic root of 321129993 is about 684.7945415388.

The spelling of 321129993 in words is "three hundred twenty-one million, one hundred twenty-nine thousand, nine hundred ninety-three".