82345945 has 24 divisors (see below), whose sum is σ = 109549440. Its totient is φ = 59373600.

The previous prime is 82345897. The next prime is 82345973. The reversal of 82345945 is 54954328.

It is not a de Polignac number, because 82345945 - 2¹³ = 82337753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82345898 and 82345907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78736 + ... + 79774.

It is an arithmetic number, because the mean of its divisors is an integer number (4564560).

Almost surely, 2^82345945 is an apocalyptic number.

It is an amenable number.

82345945 is a deficient number, since it is larger than the sum of its proper divisors (27203495).

82345945 is a wasteful number, since it uses less digits than its factorization.

82345945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1186 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The square root of 82345945 is about 9074.4666509939. The cubic root of 82345945 is about 435.0582473638.

The spelling of 82345945 in words is "eighty-two million, three hundred forty-five thousand, nine hundred forty-five".