128633 has 4 divisors (see below), whose sum is σ = 129360. Its totient is φ = 127908.

The previous prime is 128629. The next prime is 128657. The reversal of 128633 is 336821.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 336821 = 17 ⋅19813.

It is a cyclic number.

It is not a de Polignac number, because 128633 - 2² = 128629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128599 and 128608.

It is not an unprimeable number, because it can be changed into a prime (128603) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

128633 is a Friedman number, since it can be written as 8+3*(6^2-1)^3, using all its digits and the basic arithmetic operations.

2¹²⁸⁶³³ is an apocalyptic number.

It is an amenable number.

128633 is a deficient number, since it is larger than the sum of its proper divisors (727).

128633 is an equidigital number, since it uses as much as digits as its factorization.

128633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726.

The product of its digits is 864, while the sum is 23.

The square root of 128633 is about 358.6544297789. The cubic root of 128633 is about 50.4797814694.

The spelling of 128633 in words is "one hundred twenty-eight thousand, six hundred thirty-three".