42005925 has 48 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 20675520.

The previous prime is 42005917. The next prime is 42005927. The reversal of 42005925 is 52950024.

It is not a de Polignac number, because 42005925 - 2³ = 42005917 is a prime.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42005927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6382 + ... + 11168.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^42005925 is an apocalyptic number.

42005925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42005925 is a deficient number, since it is larger than the sum of its proper divisors (41113755).

42005925 is a wasteful number, since it uses less digits than its factorization.

42005925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 42005925 is about 6481.1978059615. The cubic root of 42005925 is about 347.6190093216.

Adding to 42005925 its reverse (52950024), we get a palindrome (94955949).

The spelling of 42005925 in words is "forty-two million, five thousand, nine hundred twenty-five".