82627072349 has 4 divisors (see below), whose sum is σ = 82755976380. Its totient is φ = 82498168320.

The previous prime is 82627072337. The next prime is 82627072369. The reversal of 82627072349 is 94327072628.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 57639366724 + 24987705625 = 240082^2 + 158075^2 .

It is a cyclic number.

It is not a de Polignac number, because 82627072349 - 2⁸ = 82627072093 is a prime.

It is a super-4 number, since 4×82627072349⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82627072297 and 82627072306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82627072369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64451054 + ... + 64452335.

It is an arithmetic number, because the mean of its divisors is an integer number (20688994095).

Almost surely, 2^82627072349 is an apocalyptic number.

It is an amenable number.

82627072349 is a deficient number, since it is larger than the sum of its proper divisors (128904031).

82627072349 is a wasteful number, since it uses less digits than its factorization.

82627072349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128904030.

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 82627072349 in words is "eighty-two billion, six hundred twenty-seven million, seventy-two thousand, three hundred forty-nine".