802355 has 8 divisors (see below), whose sum is σ = 1004832. Its totient is φ = 613888.

The previous prime is 802339. The next prime is 802357. The reversal of 802355 is 553208.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 802355 - 2⁴ = 802339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 802355.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802355.

It is not an unprimeable number, because it can be changed into a prime (802357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3374 + ... + 3603.

It is an arithmetic number, because the mean of its divisors is an integer number (125604).

2⁸⁰²³⁵⁵ is an apocalyptic number.

802355 is a deficient number, since it is larger than the sum of its proper divisors (202477).

802355 is a wasteful number, since it uses less digits than its factorization.

802355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 802355 is about 895.7427085944. The cubic root of 802355 is about 92.9227786158.

The spelling of 802355 in words is "eight hundred two thousand, three hundred fifty-five".