88761 has 4 divisors (see below), whose sum is σ = 118352. Its totient is φ = 59172.

The previous prime is 88747. The next prime is 88771. The reversal of 88761 is 16788.

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 88761 - 2⁵ = 88729 is a prime.

It is a D-number.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88721) 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, 14791 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (29588).

2⁸⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

88761 is a deficient number, since it is larger than the sum of its proper divisors (29591).

88761 is a wasteful number, since it uses less digits than its factorization.

88761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29590.

The product of its digits is 2688, while the sum is 30.

The square root of 88761 is about 297.9278436132. The cubic root of 88761 is about 44.6074498069.

The spelling of 88761 in words is "eighty-eight thousand, seven hundred sixty-one".