128349 has 12 divisors (see below), whose sum is σ = 199836. Its totient is φ = 78912.

The previous prime is 128347. The next prime is 128351. The reversal of 128349 is 943821.

It is an interprime number because it is at equal distance from previous prime (128347) and next prime (128351).

It can be written as a sum of positive squares in 2 ways, for example, as 27225 + 101124 = 165^2 + 318^2 .

It is not a de Polignac number, because 128349 - 2¹ = 128347 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (16653).

2¹²⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

128349 is a deficient number, since it is larger than the sum of its proper divisors (71487).

128349 is a wasteful number, since it uses less digits than its factorization.

128349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1113 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 128349 is about 358.2582867150. The cubic root of 128349 is about 50.4426038100.

Subtracting from 128349 its product of digits (1728), we obtain a palindrome (126621).

The spelling of 128349 in words is "one hundred twenty-eight thousand, three hundred forty-nine".