89401 has 9 divisors (see below), whose sum is σ = 101199. Its totient is φ = 78936.

The previous prime is 89399. The next prime is 89413. The reversal of 89401 is 10498.

89401 = T₂₉₈ + T₂₉₉.

The square root of 89401 is 299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 76176 = 115^2 + 276^2 .

It is not a de Polignac number, because 89401 - 2¹ = 89399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89431) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3876 + ... + 3898.

2⁸⁹⁴⁰¹ is an apocalyptic number.

89401 is the 299-th square number.

89401 is the 150-th centered octagonal number.

It is an amenable number.

89401 is a deficient number, since it is larger than the sum of its proper divisors (11798).

89401 is a wasteful number, since it uses less digits than its factorization.

89401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The cubic root of 89401 is about 44.7144052853.

Adding to 89401 its reverse (10498), we get a palindrome (99899).

It can be divided in two parts, 8 and 9401, that added together give a square (9409 = 97²).

The spelling of 89401 in words is "eighty-nine thousand, four hundred one".