846 has 12 divisors (see below), whose sum is σ = 1872. Its totient is φ = 276.

The previous prime is 839. The next prime is 853. The reversal of 846 is 648.

846 = 13^{2} + 14^{2} + ... + 16^{2}.

It is an interprime number because it is at equal distance from previous prime (839) and next prime (853).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 47 = 846 / (8 + 4 + 6).

It is a Curzon number.

It is a plaindrome in base 11, base 14 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6 + ... + 41.

It is an arithmetic number, because the mean of its divisors is an integer number (156).

2^{846} is an apocalyptic number.

846 is an abundant number, since it is smaller than the sum of its proper divisors (1026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

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

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

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 846 is about 29.0860791445. The cubic root of 846 is about 9.4577998927.

Subtracting from 846 its sum of digits (18), we obtain a palindrome (828).

The spelling of 846 in words is "eight hundred forty-six", and thus it is an aban number.

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