82342945 has 8 divisors (see below), whose sum is σ = 101482344. Its totient is φ = 64093824.

The previous prime is 82342879. The next prime is 82342957. The reversal of 82342945 is 54924328.

82342945 = 275² + 276² + ... + 644².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41177889 + 41165056 = 6417^2 + 6416^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82342945 - 2¹³ = 82334753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222364 + ... + 222733.

It is an arithmetic number, because the mean of its divisors is an integer number (12685293).

Almost surely, 2^82342945 is an apocalyptic number.

82342945 is the 6417-th centered square number.

It is an amenable number.

82342945 is a deficient number, since it is larger than the sum of its proper divisors (19139399).

82342945 is a wasteful number, since it uses less digits than its factorization.

82342945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445139.

The product of its digits is 69120, while the sum is 37.

The square root of 82342945 is about 9074.3013505173. The cubic root of 82342945 is about 435.0529640007.

The spelling of 82342945 in words is "eighty-two million, three hundred forty-two thousand, nine hundred forty-five".