128973 has 8 divisors (see below), whose sum is σ = 185248. Its totient is φ = 79344.

The previous prime is 128971. The next prime is 128981. The reversal of 128973 is 379821.

It is a happy number.

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

It is not a de Polignac number, because 128973 - 2¹ = 128971 is a prime.

It is a Duffinian number.

It is a Curzon number.

128973 is a lucky number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 128973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (23156).

2¹²⁸⁹⁷³ is an apocalyptic number.

128973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128973 is a deficient number, since it is larger than the sum of its proper divisors (56275).

128973 is a wasteful number, since it uses less digits than its factorization.

128973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323.

The product of its digits is 3024, while the sum is 30.

The square root of 128973 is about 359.1281108463. The cubic root of 128973 is about 50.5242180347.

The spelling of 128973 in words is "one hundred twenty-eight thousand, nine hundred seventy-three".