82514601 has 24 divisors (see below), whose sum is σ = 130127816. Its totient is φ = 50077440.

The previous prime is 82514581. The next prime is 82514603. The reversal of 82514601 is 10641528.

82514601 is a `hidden beast` number, since 8 + 2 + 51 + 4 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1946025 + 80568576 = 1395^2 + 8976^2 .

It is not a de Polignac number, because 82514601 - 2¹³ = 82506409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82514603) 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 23 ways as a sum of consecutive naturals, for example, 3711 + ... + 13371.

Almost surely, 2^82514601 is an apocalyptic number.

It is an amenable number.

82514601 is a deficient number, since it is larger than the sum of its proper divisors (47613215).

82514601 is a wasteful number, since it uses less digits than its factorization.

82514601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82514601 is about 9083.7547853297. The cubic root of 82514601 is about 435.3550648391.

The spelling of 82514601 in words is "eighty-two million, five hundred fourteen thousand, six hundred one".