349773 has 8 divisors (see below), whose sum is σ = 481536. Its totient is φ = 225600.

The previous prime is 349759. The next prime is 349787. The reversal of 349773 is 377943.

It is an interprime number because it is at equal distance from previous prime (349759) and next prime (349787).

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

It is not a de Polignac number, because 349773 - 2⁶ = 349709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349753) 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, 1788 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (60192).

2³⁴⁹⁷⁷³ is an apocalyptic number.

It is an amenable number.

349773 is a deficient number, since it is larger than the sum of its proper divisors (131763).

349773 is a wasteful number, since it uses less digits than its factorization.

349773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795.

The product of its digits is 15876, while the sum is 33.

The square root of 349773 is about 591.4160971769. The cubic root of 349773 is about 70.4577484370.

It can be divided in two parts, 34977 and 3, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 349773 in words is "three hundred forty-nine thousand, seven hundred seventy-three".