82912410 has 120 divisors (see below), whose sum is σ = 259465140. Its totient is φ = 18942336.

The previous prime is 82912397. The next prime is 82912429. The reversal of 82912410 is 1421928.

It can be written as a sum of positive squares in 2 ways, for example, as 81162081 + 1750329 = 9009^2 + 1323^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38646 + ... + 40734.

Almost surely, 2^82912410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82912410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129732570).

82912410 is an abundant number, since it is smaller than the sum of its proper divisors (176552730).

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

82912410 is a wasteful number, since it uses less digits than its factorization.

82912410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82912410 is about 9105.6251844670. The cubic root of 82912410 is about 436.0535698564.

It can be divided in two parts, 8291 and 2410, that added together give a palindrome (10701).

The spelling of 82912410 in words is "eighty-two million, nine hundred twelve thousand, four hundred ten".