121563617 has 24 divisors (see below), whose sum is σ = 152143488. Its totient is φ = 94815360.

The previous prime is 121563599. The next prime is 121563683. The reversal of 121563617 is 716365121.

It is not a de Polignac number, because 121563617 - 2⁸ = 121563361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121563697) 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 23 ways as a sum of consecutive naturals, for example, 113828 + ... + 114890.

It is an arithmetic number, because the mean of its divisors is an integer number (6339312).

Almost surely, 2^121563617 is an apocalyptic number.

121563617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

121563617 is a deficient number, since it is larger than the sum of its proper divisors (30579871).

121563617 is a wasteful number, since it uses less digits than its factorization.

121563617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1118 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 121563617 is about 11025.5891906056. The cubic root of 121563617 is about 495.3755161632.

The spelling of 121563617 in words is "one hundred twenty-one million, five hundred sixty-three thousand, six hundred seventeen".