83214024 has 16 divisors (see below), whose sum is σ = 208035120. Its totient is φ = 27738000.

The previous prime is 83213993. The next prime is 83214029. The reversal of 83214024 is 42041238.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3467251 = 83214024 / (8 + 3 + 2 + 1 + 4 + 0 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 83213985 and 83214003.

It is not an unprimeable number, because it can be changed into a prime (83214029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1733602 + ... + 1733649.

It is an arithmetic number, because the mean of its divisors is an integer number (13002195).

Almost surely, 2^83214024 is an apocalyptic number.

It is an amenable number.

83214024 is an abundant number, since it is smaller than the sum of its proper divisors (124821096).

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

83214024 is a wasteful number, since it uses less digits than its factorization.

83214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467260 (or 3467256 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 83214024 is about 9122.1721097554. The cubic root of 83214024 is about 436.5816802019.

The spelling of 83214024 in words is "eighty-three million, two hundred fourteen thousand, twenty-four".