846993 has 16 divisors (see below), whose sum is σ = 1316736. Its totient is φ = 474240.

The previous prime is 846983. The next prime is 846997. The reversal of 846993 is 399648.

846993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 846993 - 2⁴ = 846977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (846997) 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, 733 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (82296).

2⁸⁴⁶⁹⁹³ is an apocalyptic number.

It is an amenable number.

846993 is a deficient number, since it is larger than the sum of its proper divisors (469743).

846993 is a wasteful number, since it uses less digits than its factorization.

846993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824.

The product of its digits is 46656, while the sum is 39.

The square root of 846993 is about 920.3222261795. The cubic root of 846993 is about 94.6149883803.

The spelling of 846993 in words is "eight hundred forty-six thousand, nine hundred ninety-three".