87205307 has 16 divisors (see below), whose sum is σ = 105181440. Its totient is φ = 70629408.

The previous prime is 87205301. The next prime is 87205309. The reversal of 87205307 is 70350278.

It is a cyclic number.

It is not a de Polignac number, because 87205307 - 2¹⁶ = 87139771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87205301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77513 + ... + 78629.

It is an arithmetic number, because the mean of its divisors is an integer number (6573840).

Almost surely, 2^87205307 is an apocalyptic number.

87205307 is a deficient number, since it is larger than the sum of its proper divisors (17976133).

87205307 is a wasteful number, since it uses less digits than its factorization.

87205307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 87205307 is about 9338.3781782492. The cubic root of 87205307 is about 443.4530420259.

The spelling of 87205307 in words is "eighty-seven million, two hundred five thousand, three hundred seven".