128061 has 24 divisors (see below), whose sum is σ = 209664. Its totient is φ = 77760.

The previous prime is 128053. The next prime is 128099. The reversal of 128061 is 160821.

It is not a de Polignac number, because 128061 - 2³ = 128053 is a prime.

128061 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 128061.

It is not an unprimeable number, because it can be changed into a prime (128021) 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 23 ways as a sum of consecutive naturals, for example, 4116 + ... + 4146.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2¹²⁸⁰⁶¹ is an apocalyptic number.

It is an amenable number.

128061 is a deficient number, since it is larger than the sum of its proper divisors (81603).

128061 is an equidigital number, since it uses as much as digits as its factorization.

128061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 128061 is about 357.8561163373. The cubic root of 128061 is about 50.4048464727.

Adding to 128061 its reverse (160821), we get a palindrome (288882).

The spelling of 128061 in words is "one hundred twenty-eight thousand, sixty-one".