353673 has 8 divisors (see below), whose sum is σ = 524000. Its totient is φ = 235764.

The previous prime is 353657. The next prime is 353677. The reversal of 353673 is 376353.

It is not a de Polignac number, because 353673 - 2⁴ = 353657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 13099 = 353673 / (3 + 5 + 3 + 6 + 7 + 3).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353673.

It is not an unprimeable number, because it can be changed into a prime (353677) 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, 6523 + ... + 6576.

It is an arithmetic number, because the mean of its divisors is an integer number (65500).

353673 is a Friedman number, since it can be written as 3*(7^6+3^5)-3, using all its digits and the basic arithmetic operations.

2³⁵³⁶⁷³ is an apocalyptic number.

It is an amenable number.

353673 is a deficient number, since it is larger than the sum of its proper divisors (170327).

353673 is a wasteful number, since it uses less digits than its factorization.

353673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13108 (or 13102 counting only the distinct ones).

The product of its digits is 5670, while the sum is 27.

The square root of 353673 is about 594.7041281175. The cubic root of 353673 is about 70.7186511801.

The spelling of 353673 in words is "three hundred fifty-three thousand, six hundred seventy-three".