845393 has 6 divisors (see below), whose sum is σ = 899154. Its totient is φ = 792096.

The previous prime is 845387. The next prime is 845431. The reversal of 845393 is 393548.

845393 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 only one way, i.e., 795664 + 49729 = 892^2 + 223^2 .

It is not a de Polignac number, because 845393 - 2⁸ = 845137 is a prime.

It is a Duffinian number.

Its product of digits (12960) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (845303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3680 + ... + 3902.

It is an arithmetic number, because the mean of its divisors is an integer number (149859).

2⁸⁴⁵³⁹³ is an apocalyptic number.

It is an amenable number.

845393 is a deficient number, since it is larger than the sum of its proper divisors (53761).

845393 is an equidigital number, since it uses as much as digits as its factorization.

845393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 240 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 845393 is about 919.4525545127. The cubic root of 845393 is about 94.5553737968. Note that the first 3 decimals are identical.

The spelling of 845393 in words is "eight hundred forty-five thousand, three hundred ninety-three".