42137627 has 12 divisors (see below), whose sum is σ = 49374288. Its totient is φ = 35227200.

The previous prime is 42137621. The next prime is 42137657. The reversal of 42137627 is 72673124.

It is not a de Polignac number, because 42137627 - 2¹⁴ = 42121243 is a prime.

It is a super-2 number, since 2×42137627² = 3551159218382258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42137593 and 42137602.

It is not an unprimeable number, because it can be changed into a prime (42137621) 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, 9977 + ... + 13557.

It is an arithmetic number, because the mean of its divisors is an integer number (4114524).

Almost surely, 2^42137627 is an apocalyptic number.

42137627 is a deficient number, since it is larger than the sum of its proper divisors (7236661).

42137627 is an equidigital number, since it uses as much as digits as its factorization.

42137627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3629 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 42137627 is about 6491.3501677232. The cubic root of 42137627 is about 347.9819291933.

The spelling of 42137627 in words is "forty-two million, one hundred thirty-seven thousand, six hundred twenty-seven".