414112083 has 48 divisors (see below), whose sum is σ = 724930560. Its totient is φ = 207681600.

The previous prime is 414112073. The next prime is 414112121. The reversal of 414112083 is 380211414.

It is not a de Polignac number, because 414112083 - 2¹⁴ = 414095699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414112063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42478 + ... + 51308.

It is an arithmetic number, because the mean of its divisors is an integer number (15102720).

Almost surely, 2^414112083 is an apocalyptic number.

414112083 is a deficient number, since it is larger than the sum of its proper divisors (310818477).

414112083 is a wasteful number, since it uses less digits than its factorization.

414112083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 414112083 is about 20349.7440524445. The cubic root of 414112083 is about 745.3712444879.

Adding to 414112083 its reverse (380211414), we get a palindrome (794323497).

The spelling of 414112083 in words is "four hundred fourteen million, one hundred twelve thousand, eighty-three".