349657 has 16 divisors (see below), whose sum is σ = 460800. Its totient is φ = 257040.

The previous prime is 349637. The next prime is 349663. The reversal of 349657 is 756943.

It is not a de Polignac number, because 349657 - 2⁷ = 349529 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 (349637) 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, 1344 + ... + 1582.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2³⁴⁹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

349657 is a deficient number, since it is larger than the sum of its proper divisors (111143).

349657 is a wasteful number, since it uses less digits than its factorization.

349657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its digits is 22680, while the sum is 34.

The square root of 349657 is about 591.3180193432. The cubic root of 349657 is about 70.4499586204.

It can be divided in two parts, 3496 and 57, that added together give a palindrome (3553).

The spelling of 349657 in words is "three hundred forty-nine thousand, six hundred fifty-seven".