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996123 = 33110711
BaseRepresentation
bin11110011001100011011
31212121102110
43303030123
5223333443
633203403
711316102
oct3631433
91777373
10996123
11620447
12400563
1328b52b
141bd039
1514a233
hexf331b

996123 has 8 divisors (see below), whose sum is σ = 1371136. Its totient is φ = 642600.

The previous prime is 996119. The next prime is 996143. The reversal of 996123 is 321699.

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

It is not a de Polignac number, because 996123 - 22 = 996119 is a prime.

It is a super-3 number, since 3×9961233 = 2965242105333938601, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

996123 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996103) 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, 5263 + ... + 5448.

It is an arithmetic number, because the mean of its divisors is an integer number (171392).

2996123 is an apocalyptic number.

996123 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

996123 is a deficient number, since it is larger than the sum of its proper divisors (375013).

996123 is a wasteful number, since it uses less digits than its factorization.

996123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10745.

The product of its digits is 2916, while the sum is 30.

The square root of 996123 is about 998.0596174578. The cubic root of 996123 is about 99.8705992935.

The spelling of 996123 in words is "nine hundred ninety-six thousand, one hundred twenty-three".

Divisors: 1 3 31 93 10711 32133 332041 996123