88961 has 4 divisors (see below), whose sum is σ = 94212. Its totient is φ = 83712.

The previous prime is 88951. The next prime is 88969. The reversal of 88961 is 16988.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 78961 + 10000 = 281^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 88961 - 2⁶ = 88897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88969) 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, 2600 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (23553).

2⁸⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

88961 is a deficient number, since it is larger than the sum of its proper divisors (5251).

88961 is a wasteful number, since it uses less digits than its factorization.

88961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250.

The product of its digits is 3456, while the sum is 32.

The square root of 88961 is about 298.2633064928. The cubic root of 88961 is about 44.6409284652.

The spelling of 88961 in words is "eighty-eight thousand, nine hundred sixty-one".