87753 has 4 divisors (see below), whose sum is σ = 117008. Its totient is φ = 58500.

The previous prime is 87751. The next prime is 87767. The reversal of 87753 is 35778.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 87753 - 2¹ = 87751 is a prime.

It is a D-number.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 87753.

It is not an unprimeable number, because it can be changed into a prime (87751) 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, 14623 + ... + 14628.

It is an arithmetic number, because the mean of its divisors is an integer number (29252).

2⁸⁷⁷⁵³ is an apocalyptic number.

It is an amenable number.

87753 is a deficient number, since it is larger than the sum of its proper divisors (29255).

87753 is a wasteful number, since it uses less digits than its factorization.

87753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29254.

The product of its digits is 5880, while the sum is 30.

The square root of 87753 is about 296.2313285255. The cubic root of 87753 is about 44.4379474299.

It can be divided in two parts, 8775 and 3, that added together give a palindrome (8778).

The spelling of 87753 in words is "eighty-seven thousand, seven hundred fifty-three".