816375 has 32 divisors (see below), whose sum is σ = 1557504. Its totient is φ = 372000.

The previous prime is 816367. The next prime is 816377. The reversal of 816375 is 573618.

It is not a de Polignac number, because 816375 - 2³ = 816367 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (5040) is a multiple of the sum of its prime factors (336).

816375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2470 + ... + 2780.

It is an arithmetic number, because the mean of its divisors is an integer number (48672).

2⁸¹⁶³⁷⁵ is an apocalyptic number.

816375 is a deficient number, since it is larger than the sum of its proper divisors (741129).

816375 is a wasteful number, since it uses less digits than its factorization.

816375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 816375 is about 903.5347253980. The cubic root of 816375 is about 93.4608871075.

The spelling of 816375 in words is "eight hundred sixteen thousand, three hundred seventy-five".