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122823 = 334549
BaseRepresentation
bin11101111111000111
320020111000
4131333013
512412243
62344343
71021041
oct357707
9206430
10122823
1184308
125b0b3
1343b9c
1432a91
15265d3
hex1dfc7

122823 has 8 divisors (see below), whose sum is σ = 182000. Its totient is φ = 81864.

The previous prime is 122819. The next prime is 122827. The reversal of 122823 is 328221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122819) and next prime (122827).

It is not a de Polignac number, because 122823 - 22 = 122819 is a prime.

It is an Ulam number.

It is a Duffinian number.

122823 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 122796 and 122805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122827) 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 7 ways as a sum of consecutive naturals, for example, 2248 + ... + 2301.

It is an arithmetic number, because the mean of its divisors is an integer number (22750).

2122823 is an apocalyptic number.

122823 is a deficient number, since it is larger than the sum of its proper divisors (59177).

122823 is an equidigital number, since it uses as much as digits as its factorization.

122823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4552 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122823 is about 350.4611248056. The cubic root of 122823 is about 49.7080317426.

The spelling of 122823 in words is "one hundred twenty-two thousand, eight hundred twenty-three".

Divisors: 1 3 9 27 4549 13647 40941 122823