84781125 has 192 divisors, whose sum is σ = 196245504. Its totient is φ = 34560000.

The previous prime is 84781121. The next prime is 84781183. The reversal of 84781125 is 52118748.

It is not a de Polignac number, because 84781125 - 2² = 84781121 is a prime.

Its product of digits (17920) is a multiple of the sum of its prime divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 84781125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84781121) 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 191 ways as a sum of consecutive naturals, for example, 2734860 + ... + 2734890.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 2^84781125 is an apocalyptic number.

84781125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84781125 is an abundant number, since it is smaller than the sum of its proper divisors (111464379).

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

84781125 is a wasteful number, since it uses less digits than its factorization.

84781125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 84781125 is about 9207.6666425322. Note that the first 4 decimals coincide. The cubic root of 84781125 is about 439.3052482744.

The spelling of 84781125 in words is "eighty-four million, seven hundred eighty-one thousand, one hundred twenty-five".