89607 has 16 divisors (see below), whose sum is σ = 145152. Its totient is φ = 48000.

The previous prime is 89603. The next prime is 89611. The reversal of 89607 is 70698.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89603) and next prime (89611).

It is not a de Polignac number, because 89607 - 2² = 89603 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89607.

It is not an unprimeable number, because it can be changed into a prime (89603) 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, 232 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁸⁹⁶⁰⁷ is an apocalyptic number.

89607 is a deficient number, since it is larger than the sum of its proper divisors (55545).

89607 is a wasteful number, since it uses less digits than its factorization.

89607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 89607 is about 299.3442833929. The cubic root of 89607 is about 44.7487229539.

It can be divided in two parts, 89 and 607, that added together give a palindrome (696).

The spelling of 89607 in words is "eighty-nine thousand, six hundred seven".