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1225125 = 3453112
BaseRepresentation
bin100101011000110100101
32022020120000
410223012211
5303201000
642131513
713261536
oct4530645
92266500
101225125
11767500
124b0b99
1333b835
1423c68d
15193000
hex12b1a5

1225125 has 60 divisors (see below), whose sum is σ = 2510508. Its totient is φ = 594000.

The previous prime is 1225123. The next prime is 1225127. The reversal of 1225125 is 5215221.

1225125 = 453 + 463 + ... + 543.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1225123) and next prime (1225127).

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 1185921 = 198^2 + 1089^2 .

It is not a de Polignac number, because 1225125 - 21 = 1225123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1225098 and 1225107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 111370 + ... + 111380.

21225125 is an apocalyptic number.

1225125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1225125 is an abundant number, since it is smaller than the sum of its proper divisors (1285383).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1225125 is an equidigital number, since it uses as much as digits as its factorization.

1225125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 19 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 1225125 is about 1106.8536488624. The cubic root of 1225125 is about 107.0023873459.

The spelling of 1225125 in words is "one million, two hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 125 135 165 225 275 297 363 375 405 495 605 675 825 891 1089 1125 1375 1485 1815 2025 2475 3025 3267 3375 4125 4455 5445 7425 9075 9801 10125 12375 15125 16335 22275 27225 37125 45375 49005 81675 111375 136125 245025 408375 1225125