121705 has 8 divisors (see below), whose sum is σ = 148104. Its totient is φ = 96000.

The previous prime is 121697. The next prime is 121711. The reversal of 121705 is 507121.

It can be written as a sum of positive squares in 4 ways, for example, as 56169 + 65536 = 237^2 + 256^2 .

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

It is not a de Polignac number, because 121705 - 2³ = 121697 is a prime.

It is a Duffinian number.

121705 is a lucky number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 385 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (18513).

2¹²¹⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

121705 is a deficient number, since it is larger than the sum of its proper divisors (26399).

121705 is a wasteful number, since it uses less digits than its factorization.

121705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 121705 is about 348.8624370723. The cubic root of 121705 is about 49.5567488465.

Adding to 121705 its reverse (507121), we get a palindrome (628826).

The spelling of 121705 in words is "one hundred twenty-one thousand, seven hundred five".