82194201 has 18 divisors (see below), whose sum is σ = 126123582. Its totient is φ = 51571200.

The previous prime is 82194197. The next prime is 82194221. The reversal of 82194201 is 10249128.

It can be written as a sum of positive squares in 3 ways, for example, as 53582400 + 28611801 = 7320^2 + 5349^2 .

It is not a de Polignac number, because 82194201 - 2² = 82194197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82194221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13200 + ... + 18401.

Almost surely, 2^82194201 is an apocalyptic number.

It is an amenable number.

82194201 is a deficient number, since it is larger than the sum of its proper divisors (43929381).

82194201 is a wasteful number, since it uses less digits than its factorization.

82194201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31641 (or 31621 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82194201 is about 9066.1017532344. The cubic root of 82194201 is about 434.7908467377.

The spelling of 82194201 in words is "eighty-two million, one hundred ninety-four thousand, two hundred one".