353953 has 8 divisors (see below), whose sum is σ = 370440. Its totient is φ = 337920.

The previous prime is 353939. The next prime is 353963. The reversal of 353953 is 359353.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 351649 = 48^2 + 593^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 353953 - 2⁵ = 353921 is a prime.

It is a Duffinian number.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3601 + ... + 3697.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

2³⁵³⁹⁵³ is an apocalyptic number.

It is an amenable number.

353953 is a deficient number, since it is larger than the sum of its proper divisors (16487).

353953 is an equidigital number, since it uses as much as digits as its factorization.

353953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its digits is 6075, while the sum is 28.

The square root of 353953 is about 594.9394927217. The cubic root of 353953 is about 70.7373087151.

It can be divided in two parts, 3 and 53953, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 353953 in words is "three hundred fifty-three thousand, nine hundred fifty-three".