87251 has 2 divisors, whose sum is σ = 87252. Its totient is φ = 87250.

The previous prime is 87223. The next prime is 87253. The reversal of 87251 is 15278.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 87251 - 2⁶ = 87187 is a prime.

It is a super-2 number, since 2×87251² = 15225474002, which contains 22 as substring.

Together with 87253, it forms a pair of twin primes.

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 87251.

It is not a weakly prime, because it can be changed into another prime (87253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43625 + 43626.

It is an arithmetic number, because the mean of its divisors is an integer number (43626).

2⁸⁷²⁵¹ is an apocalyptic number.

87251 is a deficient number, since it is larger than the sum of its proper divisors (1).

87251 is an equidigital number, since it uses as much as digits as its factorization.

87251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 560, while the sum is 23.

The square root of 87251 is about 295.3828024784. The cubic root of 87251 is about 44.3530480592.

The spelling of 87251 in words is "eighty-seven thousand, two hundred fifty-one".