87953 has 4 divisors (see below), whose sum is σ = 88548. Its totient is φ = 87360.

The previous prime is 87943. The next prime is 87959. The reversal of 87953 is 35978.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 35978 = 2 ⋅17989.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 66049 = 148^2 + 257^2 .

It is a cyclic number.

It is not a de Polignac number, because 87953 - 2⁸ = 87697 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (22137).

2⁸⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

87953 is a deficient number, since it is larger than the sum of its proper divisors (595).

87953 is a wasteful number, since it uses less digits than its factorization.

87953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594.

The product of its digits is 7560, while the sum is 32.

The square root of 87953 is about 296.5687104197. The cubic root of 87953 is about 44.4716816842.

The spelling of 87953 in words is "eighty-seven thousand, nine hundred fifty-three".