82034370 has 192 divisors, whose sum is σ = 251274240. Its totient is φ = 19245600.

The previous prime is 82034369. The next prime is 82034371. The reversal of 82034370 is 7343028.

It is an interprime number because it is at equal distance from previous prime (82034369) and next prime (82034371).

It is a super-2 number, since 2×82034370² = 13459275722593800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82034371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2646255 + ... + 2646285.

It is an arithmetic number, because the mean of its divisors is an integer number (1308720).

Almost surely, 2^82034370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82034370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125637120).

82034370 is an abundant number, since it is smaller than the sum of its proper divisors (169239870).

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

82034370 is a wasteful number, since it uses less digits than its factorization.

82034370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 82034370 is about 9057.2827050943. The cubic root of 82034370 is about 434.5088392156.

Adding to 82034370 its reverse (7343028), we get a palindrome (89377398).

The spelling of 82034370 in words is "eighty-two million, thirty-four thousand, three hundred seventy".