82746282 has 32 divisors (see below), whose sum is σ = 174129984. Its totient is φ = 26179200.

The previous prime is 82746277. The next prime is 82746289. The reversal of 82746282 is 28264728.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 82746282.

It is not an unprimeable number, because it can be changed into a prime (82746289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4557 + ... + 13647.

It is an arithmetic number, because the mean of its divisors is an integer number (5441562).

Almost surely, 2^82746282 is an apocalyptic number.

82746282 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

82746282 is an abundant number, since it is smaller than the sum of its proper divisors (91383702).

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

82746282 is a wasteful number, since it uses less digits than its factorization.

82746282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174.

The product of its digits is 86016, while the sum is 39.

The square root of 82746282 is about 9096.4983372724. The cubic root of 82746282 is about 435.7621412532.

It can be divided in two parts, 82746 and 282, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82746282 in words is "eighty-two million, seven hundred forty-six thousand, two hundred eighty-two".