42582435 has 32 divisors (see below), whose sum is σ = 78177792. Its totient is φ = 19388160.

The previous prime is 42582409. The next prime is 42582457. The reversal of 42582435 is 53428524.

It is not a de Polignac number, because 42582435 - 2¹³ = 42574243 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42582396 and 42582405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31575 + ... + 32895.

It is an arithmetic number, because the mean of its divisors is an integer number (2443056).

Almost surely, 2^42582435 is an apocalyptic number.

42582435 is a deficient number, since it is larger than the sum of its proper divisors (35595357).

42582435 is a wasteful number, since it uses less digits than its factorization.

42582435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643.

The product of its digits is 38400, while the sum is 33.

The square root of 42582435 is about 6525.5218182150. The cubic root of 42582435 is about 349.2020871014.

The spelling of 42582435 in words is "forty-two million, five hundred eighty-two thousand, four hundred thirty-five".