320145993 has 48 divisors (see below), whose sum is σ = 513402240. Its totient is φ = 196789824.

The previous prime is 320145983. The next prime is 320146003. The reversal of 320145993 is 399541023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320145983) and next prime (320146003).

It is not a de Polignac number, because 320145993 - 2¹² = 320141897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320145913) 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 47 ways as a sum of consecutive naturals, for example, 521955 + ... + 522567.

It is an arithmetic number, because the mean of its divisors is an integer number (10695880).

Almost surely, 2^320145993 is an apocalyptic number.

It is an amenable number.

320145993 is a deficient number, since it is larger than the sum of its proper divisors (193256247).

320145993 is a wasteful number, since it uses less digits than its factorization.

320145993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 320145993 is about 17892.6239830831. The cubic root of 320145993 is about 684.0943814053.

It can be divided in two parts, 3201 and 45993, that added together give a palindrome (49194).

The spelling of 320145993 in words is "three hundred twenty million, one hundred forty-five thousand, nine hundred ninety-three".