42125 has 8 divisors (see below), whose sum is σ = 52728. Its totient is φ = 33600.

The previous prime is 42101. The next prime is 42131. The reversal of 42125 is 52124.

Added to its reverse (52124) it gives a square (94249 = 307²).

It can be written as a sum of positive squares in 4 ways, for example, as 4489 + 37636 = 67^2 + 194^2 .

It is not a de Polignac number, because 42125 - 2⁶ = 42061 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (6591).

2⁴²¹²⁵ is an apocalyptic number.

It is an amenable number.

42125 is a deficient number, since it is larger than the sum of its proper divisors (10603).

42125 is an equidigital number, since it uses as much as digits as its factorization.

42125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its digits is 80, while the sum is 14.

The square root of 42125 is about 205.2437575177. The cubic root of 42125 is about 34.7947166859.

Adding to 42125 its reverse (52124), we get a palindrome (94249).

Subtracting 42125 from its reverse (52124), we obtain a palindrome (9999).

The spelling of 42125 in words is "forty-two thousand, one hundred twenty-five".