Search a number
BaseRepresentation
bin110111101100110110001
310102201201001
412331212301
5431401301
6103042001
721341200
oct6754661
93381631
101825201
111037334
12740301
134bba01
14357237
15260c01
hex1bd9b1

1825201 has 9 divisors (see below), whose sum is σ = 2134251. Its totient is φ = 1556352.

The previous prime is 1825193. The next prime is 1825207. The reversal of 1825201 is 1025281.

The square root of 1825201 is 1351.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 442225 + 1382976 = 665^2 + 1176^2 .

It is not a de Polignac number, because 1825201 - 23 = 1825193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1825207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9361 + ... + 9553.

It is an arithmetic number, because the mean of its divisors is an integer number (237139).

21825201 is an apocalyptic number.

1825201 is the 1351-st square number.

1825201 is the 676-th centered octagonal number.

It is an amenable number.

1825201 is a deficient number, since it is larger than the sum of its proper divisors (309050).

1825201 is an frugal number, since it uses more digits than its factorization.

1825201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The cubic root of 1825201 is about 122.2091056937.

The spelling of 1825201 in words is "one million, eight hundred twenty-five thousand, two hundred one".

Divisors: 1 7 49 193 1351 9457 37249 260743 1825201