87653281 has 2 divisors, whose sum is σ = 87653282. Its totient is φ = 87653280.

The previous prime is 87653243. The next prime is 87653297. The reversal of 87653281 is 18235678.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 43681 = 9360^2 + 209^2 .

It is a cyclic number.

It is not a de Polignac number, because 87653281 - 2¹¹ = 87651233 is a prime.

It is a super-2 number, since 2×87653281² = 15366195340129922, which contains 22 as substring.

It is equal to p_5088874 and since 87653281 and 5088874 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (87653681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43826640 + 43826641.

It is an arithmetic number, because the mean of its divisors is an integer number (43826641).

Almost surely, 2^87653281 is an apocalyptic number.

It is an amenable number.

87653281 is a deficient number, since it is larger than the sum of its proper divisors (1).

87653281 is an equidigital number, since it uses as much as digits as its factorization.

87653281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 40.

The square root of 87653281 is about 9362.3330959756. Note that the first 3 decimals coincide. The cubic root of 87653281 is about 444.2110854783.

The spelling of 87653281 in words is "eighty-seven million, six hundred fifty-three thousand, two hundred eighty-one".