121361 has 4 divisors (see below), whose sum is σ = 122292. Its totient is φ = 120432.

The previous prime is 121357. The next prime is 121367. The reversal of 121361 is 163121.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 101761 = 140^2 + 319^2 .

It is a cyclic number.

It is not a de Polignac number, because 121361 - 2² = 121357 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121361.

It is not an unprimeable number, because it can be changed into a prime (121367) 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, 230 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (30573).

2¹²¹³⁶¹ is an apocalyptic number.

It is an amenable number.

121361 is a deficient number, since it is larger than the sum of its proper divisors (931).

121361 is an equidigital number, since it uses as much as digits as its factorization.

121361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930.

The product of its digits is 36, while the sum is 14.

The square root of 121361 is about 348.3690571793. The cubic root of 121361 is about 49.5100139588.

Adding to 121361 its reverse (163121), we get a palindrome (284482).

It can be divided in two parts, 121 and 361, that multiplied together give a square (43681 = 209²).

The spelling of 121361 in words is "one hundred twenty-one thousand, three hundred sixty-one".