846849 has 16 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 525456.

The previous prime is 846841. The next prime is 846851. The reversal of 846849 is 948648.

It is not a de Polignac number, because 846849 - 2³ = 846841 is a prime.

846849 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (846841) 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, 4642 + ... + 4820.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

It is a Proth number, since it is equal to 827 ⋅ 2¹⁰ + 1 and 827 < 2¹⁰.

2⁸⁴⁶⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

846849 is a deficient number, since it is larger than the sum of its proper divisors (362751).

846849 is a wasteful number, since it uses less digits than its factorization.

846849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its digits is 55296, while the sum is 39.

The square root of 846849 is about 920.2439893854. The cubic root of 846849 is about 94.6096261437.

The spelling of 846849 in words is "eight hundred forty-six thousand, eight hundred forty-nine".