87253 has 2 divisors, whose sum is σ = 87254. Its totient is φ = 87252.

The previous prime is 87251. The next prime is 87257. The reversal of 87253 is 35278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 26244 = 247^2 + 162^2 .

It is a cyclic number.

It is not a de Polignac number, because 87253 - 2¹ = 87251 is a prime.

It is a super-2 number, since 2×87253² = 15226172018, which contains 22 as substring.

Together with 87251, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 8³ + 7 + 2¹¹ + 5⁷ + 3⁸ .

It is a congruent number.

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, 43626 + 43627.

It is an arithmetic number, because the mean of its divisors is an integer number (43627).

2⁸⁷²⁵³ is an apocalyptic number.

It is an amenable number.

87253 is a deficient number, since it is larger than the sum of its proper divisors (1).

87253 is an equidigital number, since it uses as much as digits as its factorization.

87253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 25.

The square root of 87253 is about 295.3861878965. The cubic root of 87253 is about 44.3533869490.

Adding to 87253 its sum of digits (25), we get a palindrome (87278).

The spelling of 87253 in words is "eighty-seven thousand, two hundred fifty-three".