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1245825 = 325272113
BaseRepresentation
bin100110000001010000001
32100021221200
410300022001
5304331300
642411413
713406100
oct4601201
92307850
101245825
11781009
12500b69
13348099
14246037
15199200
hex130281

1245825 has 54 divisors (see below), whose sum is σ = 2618694. Its totient is φ = 564480.

The previous prime is 1245817. The next prime is 1245833. The reversal of 1245825 is 5285421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1245817) and next prime (1245833).

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 1238769 = 84^2 + 1113^2 .

It is not a de Polignac number, because 1245825 - 23 = 1245817 is a prime.

Its product of digits (3200) is a multiple of the sum of its prime divisors (128).

1245825 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10969 + ... + 11081.

21245825 is an apocalyptic number.

1245825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1245825 is an abundant number, since it is smaller than the sum of its proper divisors (1372869).

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

1245825 is a wasteful number, since it uses less digits than its factorization.

1245825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 1245825 is about 1116.1653103371. The cubic root of 1245825 is about 107.6016705333.

The spelling of 1245825 in words is "one million, two hundred forty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 113 147 175 225 245 315 339 441 525 565 735 791 1017 1225 1575 1695 2205 2373 2825 3675 3955 5085 5537 7119 8475 11025 11865 16611 19775 25425 27685 35595 49833 59325 83055 138425 177975 249165 415275 1245825