82730511 has 16 divisors (see below), whose sum is σ = 122705920. Its totient is φ = 55089720.

The previous prime is 82730507. The next prime is 82730519. The reversal of 82730511 is 11503728.

82730511 is a `hidden beast` number, since 82 + 73 + 0 + 511 = 666.

It is not a de Polignac number, because 82730511 - 2² = 82730507 is a prime.

It is a super-2 number, since 2×82730511² = 13688674900642242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82730519) 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, 38676 + ... + 40758.

It is an arithmetic number, because the mean of its divisors is an integer number (7669120).

Almost surely, 2^82730511 is an apocalyptic number.

82730511 is a deficient number, since it is larger than the sum of its proper divisors (39975409).

82730511 is a wasteful number, since it uses less digits than its factorization.

82730511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 82730511 is about 9095.6314239309. The cubic root of 82730511 is about 435.7344548476.

The spelling of 82730511 in words is "eighty-two million, seven hundred thirty thousand, five hundred eleven".