893349 has 20 divisors (see below), whose sum is σ = 1372140. Its totient is φ = 578880.

The previous prime is 893341. The next prime is 893351. The reversal of 893349 is 943398.

893349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50625 + 842724 = 225^2 + 918^2 .

It is not a de Polignac number, because 893349 - 2³ = 893341 is a prime.

It is a Curzon 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 893349.

It is not an unprimeable number, because it can be changed into a prime (893341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3187 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (68607).

2⁸⁹³³⁴⁹ is an apocalyptic number.

It is an amenable number.

893349 is a deficient number, since it is larger than the sum of its proper divisors (478791).

893349 is a wasteful number, since it uses less digits than its factorization.

893349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 893349 is about 945.1714130252. The cubic root of 893349 is about 96.3105179649.

The spelling of 893349 in words is "eight hundred ninety-three thousand, three hundred forty-nine".