89145 has 24 divisors (see below), whose sum is σ = 177216. Its totient is φ = 40608.

The previous prime is 89137. The next prime is 89153. The reversal of 89145 is 54198.

It is an interprime number because it is at equal distance from previous prime (89137) and next prime (89153).

It is not a de Polignac number, because 89145 - 2³ = 89137 is a prime.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (7384).

2⁸⁹¹⁴⁵ is an apocalyptic number.

It is an amenable number.

89145 is a deficient number, since it is larger than the sum of its proper divisors (88071).

89145 is a wasteful number, since it uses less digits than its factorization.

89145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 89145 is about 298.5715994531. The cubic root of 89145 is about 44.6716845431.

The spelling of 89145 in words is "eighty-nine thousand, one hundred forty-five".