353997 has 16 divisors (see below), whose sum is σ = 599680. Its totient is φ = 202176.

The previous prime is 353963. The next prime is 354001. The reversal of 353997 is 799353.

It is not a de Polignac number, because 353997 - 2⁷ = 353869 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353917) 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, 748 + ... + 1125.

It is an arithmetic number, because the mean of its divisors is an integer number (37480).

2³⁵³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

353997 is a deficient number, since it is larger than the sum of its proper divisors (245683).

353997 is a wasteful number, since it uses less digits than its factorization.

353997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its digits is 25515, while the sum is 36.

The square root of 353997 is about 594.9764701230. The cubic root of 353997 is about 70.7402397187.

The spelling of 353997 in words is "three hundred fifty-three thousand, nine hundred ninety-seven".