88561 has 8 divisors (see below), whose sum is σ = 98784. Its totient is φ = 78720.

The previous prime is 88547. The next prime is 88589. The reversal of 88561 is 16588.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(88561) divides (88561-1)².

It is a cyclic number.

It is not a de Polignac number, because 88561 - 2¹³ = 80369 is a prime.

It is a Duffinian number.

88561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (88591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 865 + ... + 961.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

It is a Poulet number, since it divides 2⁸⁸⁵⁶⁰-1.

2⁸⁸⁵⁶¹ is an apocalyptic number.

It is an amenable number.

88561 is a deficient number, since it is larger than the sum of its proper divisors (10223).

88561 is a wasteful number, since it uses less digits than its factorization.

88561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191.

The product of its digits is 1920, while the sum is 28.

The square root of 88561 is about 297.5920025807. The cubic root of 88561 is about 44.5739208204.

It can be divided in two parts, 885 and 61, that added together give a triangular number (946 = T₄₃).

The spelling of 88561 in words is "eighty-eight thousand, five hundred sixty-one".