82537101 has 12 divisors (see below), whose sum is σ = 119367612. Its totient is φ = 54956736.

The previous prime is 82537069. The next prime is 82537111. The reversal of 82537101 is 10173528.

It can be written as a sum of positive squares in 2 ways, for example, as 72233001 + 10304100 = 8499^2 + 3210^2 .

It is not a de Polignac number, because 82537101 - 2⁵ = 82537069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82537111) 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, 2665 + ... + 13121.

It is an arithmetic number, because the mean of its divisors is an integer number (9947301).

Almost surely, 2^82537101 is an apocalyptic number.

It is an amenable number.

82537101 is a deficient number, since it is larger than the sum of its proper divisors (36830511).

82537101 is a wasteful number, since it uses less digits than its factorization.

82537101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11340 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 82537101 is about 9084.9931755616. The cubic root of 82537101 is about 435.3946319728.

The spelling of 82537101 in words is "eighty-two million, five hundred thirty-seven thousand, one hundred one".