88361 has 8 divisors (see below), whose sum is σ = 108864. Its totient is φ = 69840.

The previous prime is 88339. The next prime is 88379. The reversal of 88361 is 16388.

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

It is a cyclic number.

It is not a de Polignac number, because 88361 - 2¹⁰ = 87337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 88361.

It is not an unprimeable number, because it can be changed into a prime (88301) 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, 395 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2⁸⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

88361 is a deficient number, since it is larger than the sum of its proper divisors (20503).

88361 is a wasteful number, since it uses less digits than its factorization.

88361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991.

The product of its digits is 1152, while the sum is 26.

The square root of 88361 is about 297.2557821137. The cubic root of 88361 is about 44.5403413161.

The spelling of 88361 in words is "eighty-eight thousand, three hundred sixty-one".