365823 has 16 divisors (see below), whose sum is σ = 574560. Its totient is φ = 229248.

The previous prime is 365809. The next prime is 365837. The reversal of 365823 is 328563.

365823 is a `hidden beast` number, since 3 + 658 + 2 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (365809) and next prime (365837).

It is not a de Polignac number, because 365823 - 2⁵ = 365791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365423) 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 15 ways as a sum of consecutive naturals, for example, 61 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2³⁶⁵⁸²³ is an apocalyptic number.

365823 is a deficient number, since it is larger than the sum of its proper divisors (208737).

365823 is a wasteful number, since it uses less digits than its factorization.

365823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 365823 is about 604.8330348121. The cubic root of 365823 is about 71.5193681535.

It can be divided in two parts, 36582 and 3, that multiplied together give a triangular number (109746 = T₄₆₈).

The spelling of 365823 in words is "three hundred sixty-five thousand, eight hundred twenty-three".