42032627 has 16 divisors (see below), whose sum is σ = 52120320. Its totient is φ = 33007392.

The previous prime is 42032623. The next prime is 42032659. The reversal of 42032627 is 72623024.

It is a cyclic number.

It is not a de Polignac number, because 42032627 - 2² = 42032623 is a prime.

It is a super-2 number, since 2×42032627² = 3533483465042258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42032596 and 42032605.

It is not an unprimeable number, because it can be changed into a prime (42032623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10988 + ... + 14310.

It is an arithmetic number, because the mean of its divisors is an integer number (3257520).

Almost surely, 2^42032627 is an apocalyptic number.

42032627 is a deficient number, since it is larger than the sum of its proper divisors (10087693).

42032627 is a wasteful number, since it uses less digits than its factorization.

42032627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482.

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 42032627 is about 6483.2574374307. The cubic root of 42032627 is about 347.6926509700.

The spelling of 42032627 in words is "forty-two million, thirty-two thousand, six hundred twenty-seven".