82397249 has 24 divisors (see below), whose sum is σ = 98335944. Its totient is φ = 68710400.

The previous prime is 82397239. The next prime is 82397257. The reversal of 82397249 is 94279328.

It can be written as a sum of positive squares in 4 ways, for example, as 20539024 + 61858225 = 4532^2 + 7865^2 .

It is not a de Polignac number, because 82397249 - 2⁴ = 82397233 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82397239) 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, 83849 + ... + 84825.

It is an arithmetic number, because the mean of its divisors is an integer number (4097331).

Almost surely, 2^82397249 is an apocalyptic number.

It is an amenable number.

82397249 is a deficient number, since it is larger than the sum of its proper divisors (15938695).

82397249 is a wasteful number, since it uses less digits than its factorization.

82397249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1046 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 82397249 is about 9077.2930436337. The cubic root of 82397249 is about 435.1485800634.

The spelling of 82397249 in words is "eighty-two million, three hundred ninety-seven thousand, two hundred forty-nine".