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1327125 = 3533539
BaseRepresentation
bin101000100000000010101
32111102110210
411010000111
5314432000
644240033
714165112
oct5040025
92442423
101327125
118270a8
12540019
133760a7
14267909
151b3350
hex144015

1327125 has 16 divisors (see below), whose sum is σ = 2208960. Its totient is φ = 707600.

The previous prime is 1327111. The next prime is 1327133. The reversal of 1327125 is 5217231.

It is not a de Polignac number, because 1327125 - 28 = 1326869 is a prime.

It is a super-2 number, since 2×13271252 = 3522521531250, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 36 + 218 + 72 + 1 + 220 + 56 .

1327125 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395 + ... + 2144.

It is an arithmetic number, because the mean of its divisors is an integer number (138060).

21327125 is an apocalyptic number.

1327125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1327125 is a deficient number, since it is larger than the sum of its proper divisors (881835).

1327125 is an equidigital number, since it uses as much as digits as its factorization.

1327125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3547 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 1327125 is about 1152.0091145473. The cubic root of 1327125 is about 109.8931469261.

Subtracting from 1327125 its sum of digits (21), we obtain a square (1327104 = 11522).

The spelling of 1327125 in words is "one million, three hundred twenty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 3539 10617 17695 53085 88475 265425 442375 1327125