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2117925 = 32529413
BaseRepresentation
bin1000000101000100100101
310222121020200
420011010211
51020233200
6113221113
724000465
oct10050445
93877220
102117925
111217257
12861799
13592014
143d1ba5
152bc800
hex205125

2117925 has 18 divisors (see below), whose sum is σ = 3793842. Its totient is φ = 1129440.

The previous prime is 2117903. The next prime is 2117953. The reversal of 2117925 is 5297112.

It can be written as a sum of positive squares in 3 ways, for example, as 720801 + 1397124 = 849^2 + 1182^2 .

It is not a de Polignac number, because 2117925 - 25 = 2117893 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4482 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (210769).

22117925 is an apocalyptic number.

2117925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2117925 is a deficient number, since it is larger than the sum of its proper divisors (1675917).

2117925 is a wasteful number, since it uses less digits than its factorization.

2117925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9421 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2117925 is about 1455.3092454870. The cubic root of 2117925 is about 128.4212399719.

The spelling of 2117925 in words is "two million, one hundred seventeen thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9413 28239 47065 84717 141195 235325 423585 705975 2117925