89349 has 16 divisors (see below), whose sum is σ = 134400. Its totient is φ = 52416.

The previous prime is 89329. The next prime is 89363. The reversal of 89349 is 94398.

89349 = 7² + 8² + ... + 64².

It is not a de Polignac number, because 89349 - 2⁵ = 89317 is a prime.

89349 is a lucky number.

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 89349.

It is not an unprimeable number, because it can be changed into a prime (89329) 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, 1092 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁸⁹³⁴⁹ is an apocalyptic number.

It is an amenable number.

89349 is a deficient number, since it is larger than the sum of its proper divisors (45051).

89349 is a wasteful number, since it uses less digits than its factorization.

89349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 7776, while the sum is 33.

The square root of 89349 is about 298.9130308300. The cubic root of 89349 is about 44.7057342413.

The spelling of 89349 in words is "eighty-nine thousand, three hundred forty-nine".