82493535 has 32 divisors (see below), whose sum is σ = 142709760. Its totient is φ = 40549248.

The previous prime is 82493513. The next prime is 82493539. The reversal of 82493535 is 53539428.

It is not a de Polignac number, because 82493535 - 2⁶ = 82493471 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82493493 and 82493502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82493539) 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, 6634 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (4459680).

Almost surely, 2^82493535 is an apocalyptic number.

82493535 is a deficient number, since it is larger than the sum of its proper divisors (60216225).

82493535 is a wasteful number, since it uses less digits than its factorization.

82493535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7887.

The product of its digits is 129600, while the sum is 39.

The square root of 82493535 is about 9082.5951687830. The cubic root of 82493535 is about 435.3180129304.

It can be divided in two parts, 824935 and 35, that added together give a triangular number (824970 = T₁₂₈₄).

The spelling of 82493535 in words is "eighty-two million, four hundred ninety-three thousand, five hundred thirty-five".