87853509 has 6 divisors (see below), whose sum is σ = 126899526. Its totient is φ = 58569000.

The previous prime is 87853471. The next prime is 87853547. The reversal of 87853509 is 90535878.

It is an interprime number because it is at equal distance from previous prime (87853471) and next prime (87853547).

It can be written as a sum of positive squares in only one way, i.e., 87048900 + 804609 = 9330^2 + 897^2 .

It is not a de Polignac number, because 87853509 - 2⁸ = 87853253 is a prime.

It is a super-2 number, since 2×87853509² = 15436478087226162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87853559) 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 5 ways as a sum of consecutive naturals, for example, 4880742 + ... + 4880759.

It is an arithmetic number, because the mean of its divisors is an integer number (21149921).

Almost surely, 2^87853509 is an apocalyptic number.

It is an amenable number.

87853509 is a deficient number, since it is larger than the sum of its proper divisors (39046017).

87853509 is a wasteful number, since it uses less digits than its factorization.

87853509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761507 (or 9761504 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 87853509 is about 9373.0202709692. The cubic root of 87853509 is about 444.5490681031.

The spelling of 87853509 in words is "eighty-seven million, eight hundred fifty-three thousand, five hundred nine".