82726631 has 16 divisors (see below), whose sum is σ = 92725248. Its totient is φ = 73288800.

The previous prime is 82726619. The next prime is 82726649. The reversal of 82726631 is 13662728.

It is a happy number.

It is not a de Polignac number, because 82726631 - 2¹⁰ = 82725607 is a prime.

It is a super-2 number, since 2×82726631² = 13687390953220322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82726591 and 82726600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82722631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52010 + ... + 53576.

It is an arithmetic number, because the mean of its divisors is an integer number (5795328).

Almost surely, 2^82726631 is an apocalyptic number.

82726631 is a deficient number, since it is larger than the sum of its proper divisors (9998617).

82726631 is a wasteful number, since it uses less digits than its factorization.

82726631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742.

The product of its digits is 24192, while the sum is 35.

The square root of 82726631 is about 9095.4181322246. The cubic root of 82726631 is about 435.7276428661.

The spelling of 82726631 in words is "eighty-two million, seven hundred twenty-six thousand, six hundred thirty-one".