82105792 has 14 divisors (see below), whose sum is σ = 162928808. Its totient is φ = 41052864.

The previous prime is 82105787. The next prime is 82105799. The reversal of 82105792 is 29750128.

It is a super-2 number, since 2×82105792² = 13482722159894528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82105799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 641388 + ... + 641515.

It is an arithmetic number, because the mean of its divisors is an integer number (11637772).

Almost surely, 2^82105792 is an apocalyptic number.

It is an amenable number.

82105792 is a deficient number, since it is larger than the sum of its proper divisors (80823016).

82105792 is a wasteful number, since it uses less digits than its factorization.

82105792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282915 (or 1282905 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 82105792 is about 9061.2246412944. The cubic root of 82105792 is about 434.6349021832.

The spelling of 82105792 in words is "eighty-two million, one hundred five thousand, seven hundred ninety-two".