88401 has 8 divisors (see below), whose sum is σ = 119680. Its totient is φ = 58032.

The previous prime is 88397. The next prime is 88411. The reversal of 88401 is 10488.

88401 is nontrivially palindromic in base 16.

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

It is not a de Polignac number, because 88401 - 2² = 88397 is a prime.

It is a Duffinian number.

88401 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88401.

It is not an unprimeable number, because it can be changed into a prime (88411) 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, 51 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (14960).

2⁸⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

88401 is a deficient number, since it is larger than the sum of its proper divisors (31279).

88401 is a wasteful number, since it uses less digits than its factorization.

88401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 88401 is about 297.3230566236. The cubic root of 88401 is about 44.5470612675.

Adding to 88401 its reverse (10488), we get a palindrome (98889).

The spelling of 88401 in words is "eighty-eight thousand, four hundred one".