82123710 has 32 divisors (see below), whose sum is σ = 197448192. Its totient is φ = 21860640.

The previous prime is 82123687. The next prime is 82123721. The reversal of 82123710 is 1732128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17295 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (6170256).

Almost surely, 2^82123710 is an apocalyptic number.

82123710 is an abundant number, since it is smaller than the sum of its proper divisors (115324482).

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

82123710 is a wasteful number, since it uses less digits than its factorization.

82123710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 82123710 is about 9062.2133058100. The cubic root of 82123710 is about 434.6665167687. Note that the first 3 decimals are identical.

Adding to 82123710 its reverse (1732128), we get a palindrome (83855838).

It can be divided in two parts, 821 and 23710, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 82123710 in words is "eighty-two million, one hundred twenty-three thousand, seven hundred ten".