82490409 has 12 divisors (see below), whose sum is σ = 126162036. Its totient is φ = 51758592.

The previous prime is 82490407. The next prime is 82490461. The reversal of 82490409 is 90409428.

It is a happy number.

82490409 is a `hidden beast` number, since 8 + 249 + 0 + 409 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60840000 + 21650409 = 7800^2 + 4653^2 .

It is not a de Polignac number, because 82490409 - 2¹ = 82490407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82490407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269424 + ... + 269729.

It is an arithmetic number, because the mean of its divisors is an integer number (10513503).

Almost surely, 2^82490409 is an apocalyptic number.

It is an amenable number.

82490409 is a deficient number, since it is larger than the sum of its proper divisors (43671627).

82490409 is a wasteful number, since it uses less digits than its factorization.

82490409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539176 (or 539173 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82490409 is about 9082.4230797734. The cubic root of 82490409 is about 435.3125142317.

The spelling of 82490409 in words is "eighty-two million, four hundred ninety thousand, four hundred nine".