82238225 has 24 divisors (see below), whose sum is σ = 107671680. Its totient is φ = 62184320.

The previous prime is 82238207. The next prime is 82238243. The reversal of 82238225 is 52283228.

It is an interprime number because it is at equal distance from previous prime (82238207) and next prime (82238243).

It is not a de Polignac number, because 82238225 - 2²⁰ = 81189649 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82238191 and 82238200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50372 + ... + 51978.

It is an arithmetic number, because the mean of its divisors is an integer number (4486320).

Almost surely, 2^82238225 is an apocalyptic number.

It is an amenable number.

82238225 is a deficient number, since it is larger than the sum of its proper divisors (25433455).

82238225 is a wasteful number, since it uses less digits than its factorization.

82238225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1724 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 82238225 is about 9068.5293736085. The cubic root of 82238225 is about 434.8684589277.

The spelling of 82238225 in words is "eighty-two million, two hundred thirty-eight thousand, two hundred twenty-five".