82137553 has 8 divisors (see below), whose sum is σ = 83162088. Its totient is φ = 81118464.

The previous prime is 82137527. The next prime is 82137571. The reversal of 82137553 is 35573128.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 74252689 = 2808^2 + 8617^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82137553 - 2¹³ = 82129361 is a prime.

It is a super-2 number, since 2×82137553² = 13493155225655618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82137593) 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 7 ways as a sum of consecutive naturals, for example, 34675 + ... + 36967.

It is an arithmetic number, because the mean of its divisors is an integer number (10395261).

Almost surely, 2^82137553 is an apocalyptic number.

It is an amenable number.

82137553 is a deficient number, since it is larger than the sum of its proper divisors (1024535).

82137553 is a wasteful number, since it uses less digits than its factorization.

82137553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723.

The product of its digits is 25200, while the sum is 34.

The square root of 82137553 is about 9062.9770495130. The cubic root of 82137553 is about 434.6909382605.

The spelling of 82137553 in words is "eighty-two million, one hundred thirty-seven thousand, five hundred fifty-three".