87815853 has 32 divisors (see below), whose sum is σ = 138931200. Its totient is φ = 54658800.

The previous prime is 87815831. The next prime is 87815873. The reversal of 87815853 is 35851878.

It is a happy number.

It is not a de Polignac number, because 87815853 - 2⁸ = 87815597 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 87815799 and 87815808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87815813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35218 + ... + 37628.

It is an arithmetic number, because the mean of its divisors is an integer number (4341600).

Almost surely, 2^87815853 is an apocalyptic number.

It is an amenable number.

87815853 is a deficient number, since it is larger than the sum of its proper divisors (51115347).

87815853 is a wasteful number, since it uses less digits than its factorization.

87815853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2504 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 87815853 is about 9371.0113114861. The cubic root of 87815853 is about 444.4855444330.

The spelling of 87815853 in words is "eighty-seven million, eight hundred fifteen thousand, eight hundred fifty-three".