351993 has 4 divisors (see below), whose sum is σ = 469328. Its totient is φ = 234660.

The previous prime is 351991. The next prime is 352007. The reversal of 351993 is 399153.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 399153 = 3 ⋅133051.

It is not a de Polignac number, because 351993 - 2¹ = 351991 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 351993.

It is not an unprimeable number, because it can be changed into a prime (351991) 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 3 ways as a sum of consecutive naturals, for example, 58663 + ... + 58668.

It is an arithmetic number, because the mean of its divisors is an integer number (117332).

2³⁵¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

351993 is a deficient number, since it is larger than the sum of its proper divisors (117335).

351993 is a wasteful number, since it uses less digits than its factorization.

351993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117334.

The product of its digits is 3645, while the sum is 30.

The square root of 351993 is about 593.2899796895. The cubic root of 351993 is about 70.6064986648.

The spelling of 351993 in words is "three hundred fifty-one thousand, nine hundred ninety-three".