83221257 has 12 divisors (see below), whose sum is σ = 129078096. Its totient is φ = 47554920.

The previous prime is 83221181. The next prime is 83221261. The reversal of 83221257 is 75212238.

It is not a de Polignac number, because 83221257 - 2⁷ = 83221129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83221157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282919 + ... + 283212.

It is an arithmetic number, because the mean of its divisors is an integer number (10756508).

Almost surely, 2^83221257 is an apocalyptic number.

It is an amenable number.

83221257 is a deficient number, since it is larger than the sum of its proper divisors (45856839).

83221257 is a wasteful number, since it uses less digits than its factorization.

83221257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566148 (or 566141 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 83221257 is about 9122.5685527707. The cubic root of 83221257 is about 436.5943291267.

The spelling of 83221257 in words is "eighty-three million, two hundred twenty-one thousand, two hundred fifty-seven".