820282123 has 8 divisors (see below), whose sum is σ = 829140480. Its totient is φ = 811471080.

The previous prime is 820282109. The next prime is 820282129. The reversal of 820282123 is 321282028.

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 820282123 - 2⁹ = 820281611 is a prime.

It is a super-2 number, since 2×820282123² = 1345725522626774258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820282091 and 820282100.

It is not an unprimeable number, because it can be changed into a prime (820282129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23598 + ... + 46876.

It is an arithmetic number, because the mean of its divisors is an integer number (103642560).

Almost surely, 2^820282123 is an apocalyptic number.

820282123 is a deficient number, since it is larger than the sum of its proper divisors (8858357).

820282123 is a wasteful number, since it uses less digits than its factorization.

820282123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23657.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 820282123 is about 28640.5677841763. The cubic root of 820282123 is about 936.0974932387.

The spelling of 820282123 in words is "eight hundred twenty million, two hundred eighty-two thousand, one hundred twenty-three".