121584165 has 16 divisors (see below), whose sum is σ = 196542528. Its totient is φ = 64175616.

The previous prime is 121584161. The next prime is 121584181. The reversal of 121584165 is 561485121.

It is not a de Polignac number, because 121584165 - 2² = 121584161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121584161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40327 + ... + 43236.

It is an arithmetic number, because the mean of its divisors is an integer number (12283908).

Almost surely, 2^121584165 is an apocalyptic number.

121584165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121584165 is a deficient number, since it is larger than the sum of its proper divisors (74958363).

121584165 is an equidigital number, since it uses as much as digits as its factorization.

121584165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83668.

The product of its digits is 9600, while the sum is 33.

The square root of 121584165 is about 11026.5209835197. The cubic root of 121584165 is about 495.4034258368.

The spelling of 121584165 in words is "one hundred twenty-one million, five hundred eighty-four thousand, one hundred sixty-five".