82377810349 has 8 divisors (see below), whose sum is σ = 82905975360. Its totient is φ = 81850400736.

The previous prime is 82377810311. The next prime is 82377810371. The reversal of 82377810349 is 94301877328.

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 82377810349 - 2²¹ = 82375713197 is a prime.

It is a super-2 number, since 2×82377810349² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82377810296 and 82377810305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82377810049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30769 + ... + 407065.

It is an arithmetic number, because the mean of its divisors is an integer number (10363246920).

Almost surely, 2^82377810349 is an apocalyptic number.

It is an amenable number.

82377810349 is a deficient number, since it is larger than the sum of its proper divisors (528165011).

82377810349 is a wasteful number, since it uses less digits than its factorization.

82377810349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377699.

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 82377810349 in words is "eighty-two billion, three hundred seventy-seven million, eight hundred ten thousand, three hundred forty-nine".