82963519 has 24 divisors (see below), whose sum is σ = 96152400. Its totient is φ = 71285760.

The previous prime is 82963511. The next prime is 82963549. The reversal of 82963519 is 91536928.

It is a happy number.

It is not a de Polignac number, because 82963519 - 2³ = 82963511 is a prime.

It is a super-2 number, since 2×82963519² = 13765890969726722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82963511) 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 23 ways as a sum of consecutive naturals, for example, 158979 + ... + 159499.

It is an arithmetic number, because the mean of its divisors is an integer number (4006350).

Almost surely, 2^82963519 is an apocalyptic number.

82963519 is a deficient number, since it is larger than the sum of its proper divisors (13188881).

82963519 is a wasteful number, since it uses less digits than its factorization.

82963519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 586 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 82963519 is about 9108.4312041097. The cubic root of 82963519 is about 436.1431490650.

The spelling of 82963519 in words is "eighty-two million, nine hundred sixty-three thousand, five hundred nineteen".