353993 has 4 divisors (see below), whose sum is σ = 369408. Its totient is φ = 338580.

The previous prime is 353963. The next prime is 354001. The reversal of 353993 is 399353.

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.

It is a cyclic number.

It is not a de Polignac number, because 353993 - 2⁶ = 353929 is a prime.

It is a super-2 number, since 2×353993² = 250622088098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7673 + ... + 7718.

It is an arithmetic number, because the mean of its divisors is an integer number (92352).

2³⁵³⁹⁹³ is an apocalyptic number.

It is an amenable number.

353993 is a deficient number, since it is larger than the sum of its proper divisors (15415).

353993 is a wasteful number, since it uses less digits than its factorization.

353993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15414.

The product of its digits is 10935, while the sum is 32.

The square root of 353993 is about 594.9731086360. The cubic root of 353993 is about 70.7399732739.

Adding to 353993 its sum of digits (32), we get a square (354025 = 595²).

The spelling of 353993 in words is "three hundred fifty-three thousand, nine hundred ninety-three".