42025 has 9 divisors (see below), whose sum is σ = 53413. Its totient is φ = 32800.

The previous prime is 42023. The next prime is 42043. The reversal of 42025 is 52024.

42025 = T_{204} + T_{205}.

It is a happy number.

The square root of 42025 is 205.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17689 + 24336 = 133^2 + 156^2 .

It is not a de Polignac number, because 42025 - 2^{1} = 42023 is a prime.

It is a super-2 number, since 2×42025^{2} = 3532201250, which contains 22 as substring.

It is a Duffinian number.

42025 is a lucky number.

It is a plaindrome in base 7 and base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 41996 and 42014.

It is not an unprimeable number, because it can be changed into a prime (42023) 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, 1005 + ... + 1045.

42025 is a Friedman number, since it can be written as 205^(4-2), using all its digits and the basic arithmetic operations.

2^{42025} is an apocalyptic number.

42025 is the 205-th square number.

42025 is the 103-rd centered octagonal number.

It is an amenable number.

42025 is a deficient number, since it is larger than the sum of its proper divisors (11388).

42025 is an equidigital number, since it uses as much as digits as its factorization.

42025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 42025 is about 34.7671619592.

Adding to 42025 its reverse (52024), we get a palindrome (94049).

Subtracting 42025 from its reverse (52024), we obtain a palindrome (9999).

It can be divided in two parts, 4 and 2025, that multiplied together give a square (8100 = 90^{2}).

The spelling of 42025 in words is "forty-two thousand, twenty-five".

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