121965 has 16 divisors (see below), whose sum is σ = 200448. Its totient is φ = 63296.

The previous prime is 121963. The next prime is 121967. The reversal of 121965 is 569121.

It is an interprime number because it is at equal distance from previous prime (121963) and next prime (121967).

It is a cyclic number.

It is not a de Polignac number, because 121965 - 2¹ = 121963 is a prime.

It is a super-2 number, since 2×121965² = 29750922450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121963) 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 15 ways as a sum of consecutive naturals, for example, 619 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (12528).

2¹²¹⁹⁶⁵ is an apocalyptic number.

121965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121965 is a deficient number, since it is larger than the sum of its proper divisors (78483).

121965 is a wasteful number, since it uses less digits than its factorization.

121965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its digits is 540, while the sum is 24.

The square root of 121965 is about 349.2348779833. The cubic root of 121965 is about 49.5920133256.

The spelling of 121965 in words is "one hundred twenty-one thousand, nine hundred sixty-five".