82736442 has 48 divisors (see below), whose sum is σ = 186338880. Its totient is φ = 26510400.

The previous prime is 82736417. The next prime is 82736443. The reversal of 82736442 is 24463728.

82736442 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82736397 and 82736406.

It is not an unprimeable number, because it can be changed into a prime (82736443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51609 + ... + 53187.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 2^82736442 is an apocalyptic number.

82736442 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

82736442 is an abundant number, since it is smaller than the sum of its proper divisors (103602438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82736442 is a wasteful number, since it uses less digits than its factorization.

82736442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1696 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 82736442 is about 9095.9574537264. The cubic root of 82736442 is about 435.7448672870.

The spelling of 82736442 in words is "eighty-two million, seven hundred thirty-six thousand, four hundred forty-two".