82187500 has 48 divisors (see below), whose sum is σ = 180468288. Its totient is φ = 32750000.

The previous prime is 82187489. The next prime is 82187509. The reversal of 82187500 is 578128.

82187500 = T₂₇₅ + T₂₇₆ + ... + T₈₀₀.

It is not an unprimeable number, because it can be changed into a prime (82187509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312369 + ... + 312631.

It is an arithmetic number, because the mean of its divisors is an integer number (3759756).

Almost surely, 2^82187500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82187500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90234144).

82187500 is an abundant number, since it is smaller than the sum of its proper divisors (98280788).

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

82187500 is an frugal number, since it uses more digits than its factorization.

82187500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 82187500 is about 9065.7321822344. The cubic root of 82187500 is about 434.7790307677.

The spelling of 82187500 in words is "eighty-two million, one hundred eighty-seven thousand, five hundred".