82195740 has 72 divisors (see below), whose sum is σ = 271999728. Its totient is φ = 19925760.

The previous prime is 82195717. The next prime is 82195741. The reversal of 82195740 is 4759128.

82195740 is a `hidden beast` number, since 82 + 1 + 9 + 574 + 0 = 666.

It is a super-2 number, since 2×82195740² = 13512279348295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82195695 and 82195704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82195741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18777 + ... + 22736.

It is an arithmetic number, because the mean of its divisors is an integer number (3777774).

Almost surely, 2^82195740 is an apocalyptic number.

It is an amenable number.

82195740 is an abundant number, since it is smaller than the sum of its proper divisors (189803988).

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

82195740 is a wasteful number, since it uses less digits than its factorization.

82195740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41539 (or 41534 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82195740 is about 9066.1866294490. The cubic root of 82195740 is about 434.7935603879.

The spelling of 82195740 in words is "eighty-two million, one hundred ninety-five thousand, seven hundred forty".