82457577 has 12 divisors (see below), whose sum is σ = 120263104. Its totient is φ = 54437400.

The previous prime is 82457561. The next prime is 82457581. The reversal of 82457577 is 77575428.

82457577 is a `hidden beast` number, since 8 + 2 + 4 + 575 + 77 = 666.

It is not a de Polignac number, because 82457577 - 2⁴ = 82457561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82455577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43549 + ... + 45402.

Almost surely, 2^82457577 is an apocalyptic number.

It is an amenable number.

82457577 is a deficient number, since it is larger than the sum of its proper divisors (37805527).

82457577 is a wasteful number, since it uses less digits than its factorization.

82457577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89060 (or 89057 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 82457577 is about 9080.6154527102. The cubic root of 82457577 is about 435.2547536702.

The spelling of 82457577 in words is "eighty-two million, four hundred fifty-seven thousand, five hundred seventy-seven".