87545801 has 12 divisors (see below), whose sum is σ = 107830548. Its totient is φ = 70624512.

The previous prime is 87545729. The next prime is 87545803. The reversal of 87545801 is 10854578.

It can be written as a sum of positive squares in 2 ways, for example, as 80910025 + 6635776 = 8995^2 + 2576^2 .

It is not a de Polignac number, because 87545801 - 2¹⁰ = 87544777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87545803) 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 11 ways as a sum of consecutive naturals, for example, 51716 + ... + 53381.

It is an arithmetic number, because the mean of its divisors is an integer number (8985879).

Almost surely, 2^87545801 is an apocalyptic number.

It is an amenable number.

87545801 is a deficient number, since it is larger than the sum of its proper divisors (20284747).

87545801 is a wasteful number, since it uses less digits than its factorization.

87545801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105128 (or 105121 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 87545801 is about 9356.5913130798. The cubic root of 87545801 is about 444.0294481050.

The spelling of 87545801 in words is "eighty-seven million, five hundred forty-five thousand, eight hundred one".