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107997 = 335999
BaseRepresentation
bin11010010111011101
312111010220
4122113131
511423442
62151553
7626601
oct322735
9174126
10107997
117415a
12525b9
133a206
142b501
1521eec
hex1a5dd

107997 has 4 divisors (see below), whose sum is σ = 144000. Its totient is φ = 71996.

The previous prime is 107981. The next prime is 107999. The reversal of 107997 is 799701.

It can be divided in two parts, 1079 and 97, that added together give a triangular number (1176 = T48).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 107997 - 24 = 107981 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107999) 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 3 ways as a sum of consecutive naturals, for example, 17997 + ... + 18002.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2107997 is an apocalyptic number.

It is an amenable number.

107997 is a deficient number, since it is larger than the sum of its proper divisors (36003).

107997 is an equidigital number, since it uses as much as digits as its factorization.

107997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36002.

The product of its (nonzero) digits is 3969, while the sum is 33.

The square root of 107997 is about 328.6289701168. The cubic root of 107997 is about 47.6215906102.

The spelling of 107997 in words is "one hundred seven thousand, nine hundred ninety-seven".

Divisors: 1 3 35999 107997