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2137325 = 521747107
BaseRepresentation
bin1000001001110011101101
311000120212012
420021303231
51021343300
6113451005
724111161
oct10116355
94016765
102137325
11122a893
12870a65
1359aab8
143d8ca1
152c3435
hex209ced

2137325 has 24 divisors (see below), whose sum is σ = 2892672. Its totient is φ = 1560320.

The previous prime is 2137307. The next prime is 2137327. The reversal of 2137325 is 5237312.

2137325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2137325 - 210 = 2136301 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2137325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137327) 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 23 ways as a sum of consecutive naturals, for example, 19922 + ... + 20028.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

22137325 is an apocalyptic number.

2137325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2137325 is a deficient number, since it is larger than the sum of its proper divisors (755347).

2137325 is a wasteful number, since it uses less digits than its factorization.

2137325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 176 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 2137325 is about 1461.9593017591. The cubic root of 2137325 is about 128.8121577518.

The spelling of 2137325 in words is "two million, one hundred thirty-seven thousand, three hundred twenty-five".

Divisors: 1 5 17 25 47 85 107 235 425 535 799 1175 1819 2675 3995 5029 9095 19975 25145 45475 85493 125725 427465 2137325