89461 has 4 divisors (see below), whose sum is σ = 90252. Its totient is φ = 88672.

The previous prime is 89459. The next prime is 89477. The reversal of 89461 is 16498.

89461 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 36100 + 53361 = 190^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 89461 - 2¹ = 89459 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (22563).

2⁸⁹⁴⁶¹ is an apocalyptic number.

It is an amenable number.

89461 is a deficient number, since it is larger than the sum of its proper divisors (791).

89461 is a wasteful number, since it uses less digits than its factorization.

89461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790.

The product of its digits is 1728, while the sum is 28.

The square root of 89461 is about 299.1003176194. The cubic root of 89461 is about 44.7244061591.

The spelling of 89461 in words is "eighty-nine thousand, four hundred sixty-one".