42825 has 12 divisors (see below), whose sum is σ = 70928. Its totient is φ = 22800.

The previous prime is 42821. The next prime is 42829. The reversal of 42825 is 52824.

42825 = 40² + 41² + ... + 57².

42825 is nontrivially palindromic in base 11.

42825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42821) and next prime (42829).

It is not a de Polignac number, because 42825 - 2² = 42821 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 360.

2⁴²⁸²⁵ is an apocalyptic number.

It is an amenable number.

42825 is a deficient number, since it is larger than the sum of its proper divisors (28103).

42825 is a wasteful number, since it uses less digits than its factorization.

42825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 579 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 42825 is about 206.9420208657. The cubic root of 42825 is about 34.9863892656.

Subtracting 42825 from its reverse (52824), we obtain a palindrome (9999).

The spelling of 42825 in words is "forty-two thousand, eight hundred twenty-five".