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97119 = 3411109
BaseRepresentation
bin10111101101011111
311221020000
4113231133
511101434
62025343
7553101
oct275537
9157200
1097119
1166a70
1248253
1335289
1427571
151db99
hex17b5f

97119 has 20 divisors (see below), whose sum is σ = 159720. Its totient is φ = 58320.

The previous prime is 97117. The next prime is 97127. The reversal of 97119 is 91179.

It is not a de Polignac number, because 97119 - 21 = 97117 is a prime.

It is a super-2 number, since 2×971192 = 18864200322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 97092 and 97101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97117) 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 19 ways as a sum of consecutive naturals, for example, 837 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (7986).

297119 is an apocalyptic number.

97119 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

97119 is a deficient number, since it is larger than the sum of its proper divisors (62601).

97119 is a wasteful number, since it uses less digits than its factorization.

97119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its digits is 567, while the sum is 27.

The square root of 97119 is about 311.6392144773. The cubic root of 97119 is about 45.9657905704.

It can be divided in two parts, 971 and 19, that added together give a triangular number (990 = T44).

The spelling of 97119 in words is "ninety-seven thousand, one hundred nineteen".

Divisors: 1 3 9 11 27 33 81 99 109 297 327 891 981 1199 2943 3597 8829 10791 32373 97119