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203997 = 3531283
BaseRepresentation
bin110001110011011101
3101100211110
4301303131
523011442
64212233
71506513
oct616335
9340743
10203997
1112a2a2
129a079
1371b11
14544b3
154069c
hex31cdd

203997 has 8 divisors (see below), whose sum is σ = 277344. Its totient is φ = 133328.

The previous prime is 203989. The next prime is 203999. The reversal of 203997 is 799302.

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 203997 - 23 = 203989 is a prime.

It is a super-2 number, since 2×2039972 = 83229552018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203999) 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, 483 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (34668).

2203997 is an apocalyptic number.

It is an amenable number.

203997 is a deficient number, since it is larger than the sum of its proper divisors (73347).

203997 is a wasteful number, since it uses less digits than its factorization.

203997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 203997 is about 451.6602705574. The cubic root of 203997 is about 58.8673646005.

The spelling of 203997 in words is "two hundred three thousand, nine hundred ninety-seven".

Divisors: 1 3 53 159 1283 3849 67999 203997