83433864 has 32 divisors (see below), whose sum is σ = 219564000. Its totient is φ = 26347392.

The previous prime is 83433863. The next prime is 83433877. The reversal of 83433864 is 46833438.

It is a super-2 number, since 2×83433864² = 13922419323940992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83433863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91029 + ... + 91940.

It is an arithmetic number, because the mean of its divisors is an integer number (6861375).

Almost surely, 2^83433864 is an apocalyptic number.

It is an amenable number.

83433864 is an abundant number, since it is smaller than the sum of its proper divisors (136130136).

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

83433864 is a wasteful number, since it uses less digits than its factorization.

83433864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182997 (or 182993 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 83433864 is about 9134.2139234857. The cubic root of 83433864 is about 436.9658050383.

The spelling of 83433864 in words is "eighty-three million, four hundred thirty-three thousand, eight hundred sixty-four".