42085124 has 18 divisors (see below), whose sum is σ = 76994190. Its totient is φ = 20126656.

The previous prime is 42085123. The next prime is 42085129. The reversal of 42085124 is 42158024.

42085124 = T₁₀₄ + T₁₀₅ + ... + T₆₃₂.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41473600 + 611524 = 6440^2 + 782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42085093 and 42085102.

It is not an unprimeable number, because it can be changed into a prime (42085123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7829 + ... + 12060.

It is an arithmetic number, because the mean of its divisors is an integer number (4277455).

Almost surely, 2^42085124 is an apocalyptic number.

It is an amenable number.

42085124 is a deficient number, since it is larger than the sum of its proper divisors (34909066).

42085124 is a wasteful number, since it uses less digits than its factorization.

42085124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19939 (or 19914 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 42085124 is about 6487.3048332879. The cubic root of 42085124 is about 347.8373419610.

Subtracting 42085124 from its reverse (42158024), we obtain a square (72900 = 270²).

The spelling of 42085124 in words is "forty-two million, eighty-five thousand, one hundred twenty-four".