353973 has 4 divisors (see below), whose sum is σ = 471968. Its totient is φ = 235980.

The previous prime is 353963. The next prime is 354001. The reversal of 353973 is 379353.

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 not a de Polignac number, because 353973 - 2¹⁰ = 352949 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 353973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353963) 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 3 ways as a sum of consecutive naturals, for example, 58993 + ... + 58998.

It is an arithmetic number, because the mean of its divisors is an integer number (117992).

2³⁵³⁹⁷³ is an apocalyptic number.

It is an amenable number.

353973 is a deficient number, since it is larger than the sum of its proper divisors (117995).

353973 is a wasteful number, since it uses less digits than its factorization.

353973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117994.

The product of its digits is 8505, while the sum is 30.

The square root of 353973 is about 594.9563009163. The cubic root of 353973 is about 70.7386410196.

It can be divided in two parts, 353 and 973, that added together give a triangular number (1326 = T₅₁).

The spelling of 353973 in words is "three hundred fifty-three thousand, nine hundred seventy-three".