115406589 has 16 divisors (see below), whose sum is σ = 166354880. Its totient is φ = 70917120.

The previous prime is 115406587. The next prime is 115406633. The reversal of 115406589 is 985604511.

It is not a de Polignac number, because 115406589 - 2¹ = 115406587 is a prime.

It is a super-3 number, since 3×115406589³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115406587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25252 + ... + 29469.

It is an arithmetic number, because the mean of its divisors is an integer number (10397180).

Almost surely, 2^115406589 is an apocalyptic number.

115406589 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

115406589 is a deficient number, since it is larger than the sum of its proper divisors (50948291).

115406589 is a wasteful number, since it uses less digits than its factorization.

115406589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54780.

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 115406589 is about 10742.7458780332. The cubic root of 115406589 is about 486.8668461433.

The spelling of 115406589 in words is "one hundred fifteen million, four hundred six thousand, five hundred eighty-nine".