128414 has 16 divisors (see below), whose sum is σ = 226800. Its totient is φ = 53760.

The previous prime is 128413. The next prime is 128431. The reversal of 128414 is 414821.

128414 = 103² + 104² + ... + 113².

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128411) 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, 62 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2¹²⁸⁴¹⁴ is an apocalyptic number.

128414 is a deficient number, since it is larger than the sum of its proper divisors (98386).

128414 is a wasteful number, since it uses less digits than its factorization.

128414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475.

The product of its digits is 256, while the sum is 20.

The square root of 128414 is about 358.3489919059. The cubic root of 128414 is about 50.4511176172.

The spelling of 128414 in words is "one hundred twenty-eight thousand, four hundred fourteen".