353249 has 8 divisors (see below), whose sum is σ = 393960. Its totient is φ = 314496.

The previous prime is 353237. The next prime is 353263. The reversal of 353249 is 942353.

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 351649 = 40^2 + 593^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-353249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (353149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (49245).

2³⁵³²⁴⁹ is an apocalyptic number.

It is an amenable number.

353249 is a deficient number, since it is larger than the sum of its proper divisors (40711).

353249 is a wasteful number, since it uses less digits than its factorization.

353249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979.

The product of its digits is 3240, while the sum is 26.

The square root of 353249 is about 594.3475414267. The cubic root of 353249 is about 70.6903795860.

The spelling of 353249 in words is "three hundred fifty-three thousand, two hundred forty-nine".