82529601 has 16 divisors (see below), whose sum is σ = 137192448. Its totient is φ = 42872400.

The previous prime is 82529569. The next prime is 82529627. The reversal of 82529601 is 10692528.

It is not a de Polignac number, because 82529601 - 2⁵ = 82529569 is a prime.

It is a super-2 number, since 2×82529601² = 13622270082438402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (82524601) 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 15 ways as a sum of consecutive naturals, for example, 178405 + ... + 178866.

It is an arithmetic number, because the mean of its divisors is an integer number (8574528).

Almost surely, 2^82529601 is an apocalyptic number.

It is an amenable number.

82529601 is a deficient number, since it is larger than the sum of its proper divisors (54662847).

82529601 is a wasteful number, since it uses less digits than its factorization.

82529601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357292.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 82529601 is about 9084.5803975748. The cubic root of 82529601 is about 435.3814437273.

The spelling of 82529601 in words is "eighty-two million, five hundred twenty-nine thousand, six hundred one".