82609461 has 12 divisors (see below), whose sum is σ = 130172640. Its totient is φ = 50066280.

The previous prime is 82609453. The next prime is 82609469. The reversal of 82609461 is 16490628.

82609461 is a `hidden beast` number, since 8 + 2 + 609 + 46 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (82609453) and next prime (82609469).

It is not a de Polignac number, because 82609461 - 2³ = 82609453 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82609469) 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, 417121 + ... + 417318.

It is an arithmetic number, because the mean of its divisors is an integer number (10847720).

Almost surely, 2^82609461 is an apocalyptic number.

It is an amenable number.

82609461 is a deficient number, since it is larger than the sum of its proper divisors (47563179).

82609461 is a wasteful number, since it uses less digits than its factorization.

82609461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834456 (or 834453 counting only the distinct ones).

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

The square root of 82609461 is about 9088.9746946507. The cubic root of 82609461 is about 435.5218311469.

The spelling of 82609461 in words is "eighty-two million, six hundred nine thousand, four hundred sixty-one".