18965625 has 72 divisors (see below), whose sum is σ = 38372544. Its totient is φ = 8160000.

The previous prime is 18965621. The next prime is 18965641. The reversal of 18965625 is 52656981.

It is not a de Polignac number, because 18965625 - 2² = 18965621 is a prime.

Its product of digits (129600) is a multiple of the sum of its prime divisors (32).

It is not an unprimeable number, because it can be changed into a prime (18965621) 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 71 ways as a sum of consecutive naturals, for example, 1115617 + ... + 1115633.

It is an arithmetic number, because the mean of its divisors is an integer number (532952).

Almost surely, 2^18965625 is an apocalyptic number.

18965625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18965625 is an abundant number, since it is smaller than the sum of its proper divisors (19406919).

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

18965625 is an frugal number, since it uses more digits than its factorization.

18965625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 32 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 18965625 is about 4354.9540755328. The cubic root of 18965625 is about 266.6791443814.

The spelling of 18965625 in words is "eighteen million, nine hundred sixty-five thousand, six hundred twenty-five".