87853129 has 27 divisors (see below), whose sum is σ = 111747303. Its totient is φ = 68835312.

The previous prime is 87853121. The next prime is 87853177. The reversal of 87853129 is 92135878.

The square root of 87853129 is 9373.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12996025 + 74857104 = 3605^2 + 8652^2 .

It is not a de Polignac number, because 87853129 - 2³ = 87853121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87853121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 852892 + ... + 852994.

It is an arithmetic number, because the mean of its divisors is an integer number (4138789).

Almost surely, 2^87853129 is an apocalyptic number.

87853129 is the 9373-rd square number.

87853129 is the 4687-th centered octagonal number.

It is an amenable number.

87853129 is a deficient number, since it is larger than the sum of its proper divisors (23894174).

87853129 is a wasteful number, since it uses less digits than its factorization.

87853129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its digits is 120960, while the sum is 43.

The cubic root of 87853129 is about 444.5484271540.

The spelling of 87853129 in words is "eighty-seven million, eight hundred fifty-three thousand, one hundred twenty-nine".