42825132 has 96 divisors (see below), whose sum is σ = 130403840. Its totient is φ = 11897280.

The previous prime is 42825089. The next prime is 42825137. The reversal of 42825132 is 23152824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42825096 and 42825105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42825137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27207 + ... + 28737.

Almost surely, 2^42825132 is an apocalyptic number.

42825132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42825132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65201920).

42825132 is an abundant number, since it is smaller than the sum of its proper divisors (87578708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42825132 is a wasteful number, since it uses less digits than its factorization.

42825132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42825132 is about 6544.0913807801. The cubic root of 42825132 is about 349.8642521187.

Adding to 42825132 its reverse (23152824), we get a palindrome (65977956).

The spelling of 42825132 in words is "forty-two million, eight hundred twenty-five thousand, one hundred thirty-two".