83228949 has 48 divisors (see below), whose sum is σ = 131539200. Its totient is φ = 50544000.

The previous prime is 83228939. The next prime is 83228953. The reversal of 83228949 is 94982238.

It is not a de Polignac number, because 83228949 - 2⁵ = 83228917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83228909) 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, 823999 + ... + 824099.

It is an arithmetic number, because the mean of its divisors is an integer number (2740400).

Almost surely, 2^83228949 is an apocalyptic number.

It is an amenable number.

83228949 is a deficient number, since it is larger than the sum of its proper divisors (48310251).

83228949 is a wasteful number, since it uses less digits than its factorization.

With its successor (83228950) it forms an eRAP, since the sums of their prime factors are consecutive (266 and 267).

83228949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 83228949 is about 9122.9901348187. The cubic root of 83228949 is about 436.6077799374.

It can be divided in two parts, 8322 and 8949, that added together give a palindrome (17271).

The spelling of 83228949 in words is "eighty-three million, two hundred twenty-eight thousand, nine hundred forty-nine".