353742 has 32 divisors (see below), whose sum is σ = 777600. Its totient is φ = 106848.

The previous prime is 353737. The next prime is 353747. The reversal of 353742 is 247353.

It is an interprime number because it is at equal distance from previous prime (353737) and next prime (353747).

It is a d-powerful number, because it can be written as 3⁸ + 5⁷ + 7³ + 3⁸ + 4⁹ + 2³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353747) 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, 3253 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2³⁵³⁷⁴² is an apocalyptic number.

353742 is an abundant number, since it is smaller than the sum of its proper divisors (423858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353742 is a wasteful number, since it uses less digits than its factorization.

353742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its digits is 2520, while the sum is 24.

The square root of 353742 is about 594.7621373289. The cubic root of 353742 is about 70.7232498438.

The spelling of 353742 in words is "three hundred fifty-three thousand, seven hundred forty-two".