82259201 has 8 divisors (see below), whose sum is σ = 86722944. Its totient is φ = 77869440.

The previous prime is 82259197. The next prime is 82259207. The reversal of 82259201 is 10295228.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82259201 - 2² = 82259197 is a prime.

It is a super-2 number, since 2×82259201² = 13533152298316802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82259207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16205 + ... + 20666.

It is an arithmetic number, because the mean of its divisors is an integer number (10840368).

Almost surely, 2^82259201 is an apocalyptic number.

It is an amenable number.

82259201 is a deficient number, since it is larger than the sum of its proper divisors (4463743).

82259201 is a wasteful number, since it uses less digits than its factorization.

82259201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36991.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 82259201 is about 9069.6858269733. The cubic root of 82259201 is about 434.9054288621.

The spelling of 82259201 in words is "eighty-two million, two hundred fifty-nine thousand, two hundred one".