42517136 has 60 divisors (see below), whose sum is σ = 92267532. Its totient is φ = 18911232.

The previous prime is 42517109. The next prime is 42517147. The reversal of 42517136 is 63171524.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 24403600 = 4256^2 + 4940^2 .

It is a super-3 number, since 3×42517136³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42517099 and 42517108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97976 + ... + 98408.

Almost surely, 2^42517136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42517136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46133766).

42517136 is an abundant number, since it is smaller than the sum of its proper divisors (49750396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42517136 is a wasteful number, since it uses less digits than its factorization.

42517136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 42517136 is about 6520.5165439557. The cubic root of 42517136 is about 349.0234984985.

The spelling of 42517136 in words is "forty-two million, five hundred seventeen thousand, one hundred thirty-six".