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2117375 = 53131303
BaseRepresentation
bin1000000100111011111111
310222120111022
420010323333
51020224000
6113214355
723666051
oct10047377
93876438
102117375
1112168a7
128613bb
135919b0
143d18d1
152bc585
hex204eff

2117375 has 16 divisors (see below), whose sum is σ = 2847936. Its totient is φ = 1562400.

The previous prime is 2117369. The next prime is 2117389. The reversal of 2117375 is 5737112.

It is not a de Polignac number, because 2117375 - 28 = 2117119 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 974 + ... + 2276.

It is an arithmetic number, because the mean of its divisors is an integer number (177996).

22117375 is an apocalyptic number.

2117375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2117375 is a deficient number, since it is larger than the sum of its proper divisors (730561).

2117375 is a wasteful number, since it uses less digits than its factorization.

2117375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its digits is 1470, while the sum is 26.

The square root of 2117375 is about 1455.1202699433. The cubic root of 2117375 is about 128.4101225186.

The spelling of 2117375 in words is "two million, one hundred seventeen thousand, three hundred seventy-five".

Divisors: 1 5 13 25 65 125 325 1303 1625 6515 16939 32575 84695 162875 423475 2117375