126025 has 9 divisors (see below), whose sum is σ = 158503. Its totient is φ = 99400.

The previous prime is 126023. The next prime is 126031. The reversal of 126025 is 520621.

Multipling 126025 by its sum of digits (16), we get a square (2016400 = 1420^{2}).

Adding to 126025 its reverse (520621), we get a palindrome (646646).

126025 = T_{354} + T_{355}.

It is a happy number.

The square root of 126025 is 355.

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., 45369 + 80656 = 213^2 + 284^2 .

It is not a de Polignac number, because 126025 - 2^{1} = 126023 is a prime.

It is a Duffinian number.

126025 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (126023) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1740 + ... + 1810.

126025 is a Friedman number, since it can be written as (10*6^2-5)^2, using all its digits and the basic arithmetic operations.

2^{126025} is an apocalyptic number.

126025 is the 355-th square number.

126025 is the 178-th centered octagonal number.

It is an amenable number.

126025 is a deficient number, since it is larger than the sum of its proper divisors (32478).

126025 is an frugal number, since it uses more digits than its factorization.

126025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The cubic root of 126025 is about 50.1362948036.

The spelling of 126025 in words is "one hundred twenty-six thousand, twenty-five".

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