353991 has 16 divisors (see below), whose sum is σ = 546048. Its totient is φ = 201600.

The previous prime is 353963. The next prime is 354001. The reversal of 353991 is 199353.

It is not a de Polignac number, because 353991 - 2¹⁴ = 337607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353911) 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 15 ways as a sum of consecutive naturals, for example, 246 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (34128).

2³⁵³⁹⁹¹ is an apocalyptic number.

353991 is a deficient number, since it is larger than the sum of its proper divisors (192057).

353991 is a wasteful number, since it uses less digits than its factorization.

353991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662.

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

The square root of 353991 is about 594.9714278854. The cubic root of 353991 is about 70.7398400507.

The spelling of 353991 in words is "three hundred fifty-three thousand, nine hundred ninety-one".