82216251 has 24 divisors (see below), whose sum is σ = 128413376. Its totient is φ = 50388480.

The previous prime is 82216241. The next prime is 82216261. The reversal of 82216251 is 15261228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82216241) and next prime (82216261).

It is not a de Polignac number, because 82216251 - 2⁵ = 82216219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82216241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30411 + ... + 33003.

Almost surely, 2^82216251 is an apocalyptic number.

82216251 is a deficient number, since it is larger than the sum of its proper divisors (46197125).

82216251 is a wasteful number, since it uses less digits than its factorization.

82216251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2880 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 82216251 is about 9067.3177401037. The cubic root of 82216251 is about 434.8297232881.

Adding to 82216251 its reverse (15261228), we get a palindrome (97477479).

The spelling of 82216251 in words is "eighty-two million, two hundred sixteen thousand, two hundred fifty-one".