82735719 has 32 divisors (see below), whose sum is σ = 128459520. Its totient is φ = 46809600.

The previous prime is 82735711. The next prime is 82735721. The reversal of 82735719 is 91753728.

It is not a de Polignac number, because 82735719 - 2³ = 82735711 is a prime.

It is a super-2 number, since 2×82735719² = 13690398396893922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82735711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77449 + ... + 78509.

It is an arithmetic number, because the mean of its divisors is an integer number (4014360).

Almost surely, 2^82735719 is an apocalyptic number.

82735719 is a deficient number, since it is larger than the sum of its proper divisors (45723801).

82735719 is a wasteful number, since it uses less digits than its factorization.

82735719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231.

The product of its digits is 105840, while the sum is 42.

The square root of 82735719 is about 9095.9177107096. The cubic root of 82735719 is about 435.7435980178.

Subtracting 82735719 from its reverse (91753728), we obtain a square (9018009 = 3003²).

The spelling of 82735719 in words is "eighty-two million, seven hundred thirty-five thousand, seven hundred nineteen".