802123 has 16 divisors (see below), whose sum is σ = 997120. Its totient is φ = 629856.

The previous prime is 802121. The next prime is 802127. The reversal of 802123 is 321208.

It is a happy number.

It is a 9-Lehmer number, since φ(802123) divides (802123-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 802123 - 2¹ = 802121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 802097 and 802106.

It is not an unprimeable number, because it can be changed into a prime (802121) 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 15 ways as a sum of consecutive naturals, for example, 4840 + ... + 5002.

It is an arithmetic number, because the mean of its divisors is an integer number (62320).

2⁸⁰²¹²³ is an apocalyptic number.

802123 is a deficient number, since it is larger than the sum of its proper divisors (194997).

802123 is a wasteful number, since it uses less digits than its factorization.

802123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 802123 is about 895.6131977589. The cubic root of 802123 is about 92.9138215819.

The spelling of 802123 in words is "eight hundred two thousand, one hundred twenty-three".