89338067 has 32 divisors (see below), whose sum is σ = 115248000. Its totient is φ = 67350528.

The previous prime is 89338061. The next prime is 89338069. The reversal of 89338067 is 76083398.

It is not a de Polignac number, because 89338067 - 2¹⁶ = 89272531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89338061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255809 + ... + 256157.

It is an arithmetic number, because the mean of its divisors is an integer number (3601500).

Almost surely, 2^89338067 is an apocalyptic number.

89338067 is a deficient number, since it is larger than the sum of its proper divisors (25909933).

89338067 is a wasteful number, since it uses less digits than its factorization.

89338067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 89338067 is about 9451.8816645153. The cubic root of 89338067 is about 447.0391072625.

The spelling of 89338067 in words is "eighty-nine million, three hundred thirty-eight thousand, sixty-seven".