82077345 has 48 divisors (see below), whose sum is σ = 165060480. Its totient is φ = 36951552.

The previous prime is 82077329. The next prime is 82077353. The reversal of 82077345 is 54377028.

It is not a de Polignac number, because 82077345 - 2⁴ = 82077329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19161 + ... + 23049.

It is an arithmetic number, because the mean of its divisors is an integer number (3438760).

Almost surely, 2^82077345 is an apocalyptic number.

It is an amenable number.

82077345 is an abundant number, since it is smaller than the sum of its proper divisors (82983135).

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

82077345 is a wasteful number, since it uses less digits than its factorization.

82077345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 82077345 is about 9059.6547947480. The cubic root of 82077345 is about 434.5847007421.

The spelling of 82077345 in words is "eighty-two million, seventy-seven thousand, three hundred forty-five".