82612530 has 288 divisors, whose sum is σ = 295783488. Its totient is φ = 15724800.

The previous prime is 82612529. The next prime is 82612577. The reversal of 82612530 is 3521628.

It is a super-2 number, since 2×82612530² = 13649660226001800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82612494 and 82612503.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 630565 + ... + 630695.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 2^82612530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82612530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891744).

82612530 is an abundant number, since it is smaller than the sum of its proper divisors (213170958).

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

82612530 is a wasteful number, since it uses less digits than its factorization.

82612530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82612530 is about 9089.1435240071. The cubic root of 82612530 is about 435.5272243949.

The spelling of 82612530 in words is "eighty-two million, six hundred twelve thousand, five hundred thirty".