121764825 has 144 divisors (see below), whose sum is σ = 283454080. Its totient is φ = 48522240.

The previous prime is 121764821. The next prime is 121764857. The reversal of 121764825 is 528467121.

121764825 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 648 + 2 + 5 = 666.

It is not a de Polignac number, because 121764825 - 2² = 121764821 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121764825.

It is not an unprimeable number, because it can be changed into a prime (121764821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 388869 + ... + 389181.

Almost surely, 2^121764825 is an apocalyptic number.

121764825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121764825 is an abundant number, since it is smaller than the sum of its proper divisors (161689255).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121764825 is a wasteful number, since it uses less digits than its factorization.

121764825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 121764825 is about 11034.7100097828. The cubic root of 121764825 is about 495.6486751279.

The spelling of 121764825 in words is "one hundred twenty-one million, seven hundred sixty-four thousand, eight hundred twenty-five".