87257 has 2 divisors, whose sum is σ = 87258. Its totient is φ = 87256.

The previous prime is 87253. The next prime is 87277. The reversal of 87257 is 75278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48841 + 38416 = 221^2 + 196^2 .

It is a cyclic number.

It is not a de Polignac number, because 87257 - 2² = 87253 is a prime.

It is a super-2 number, since 2×87257² = 15227568098, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87257.

It is not a weakly prime, because it can be changed into another prime (87251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43628 + 43629.

It is an arithmetic number, because the mean of its divisors is an integer number (43629).

2⁸⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

87257 is a deficient number, since it is larger than the sum of its proper divisors (1).

87257 is an equidigital number, since it uses as much as digits as its factorization.

87257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3920, while the sum is 29.

The square root of 87257 is about 295.3929586161. The cubic root of 87257 is about 44.3540647131.

It can be divided in two parts, 8725 and 7, that multiplied together give a triangular number (61075 = T₃₄₉).

The spelling of 87257 in words is "eighty-seven thousand, two hundred fifty-seven".