82078131 has 8 divisors (see below), whose sum is σ = 109532304. Its totient is φ = 54671360.

The previous prime is 82078109. The next prime is 82078141. The reversal of 82078131 is 13187028.

It is a happy number.

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 82078131 - 2⁶ = 82078067 is a prime.

It is a super-2 number, since 2×82078131² = 13473639176906322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82078141) 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, 7590 + ... + 14891.

It is an arithmetic number, because the mean of its divisors is an integer number (13691538).

Almost surely, 2^82078131 is an apocalyptic number.

82078131 is a deficient number, since it is larger than the sum of its proper divisors (27454173).

82078131 is a wasteful number, since it uses less digits than its factorization.

82078131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23701.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 82078131 is about 9059.6981737804. The cubic root of 82078131 is about 434.5860879803.

The spelling of 82078131 in words is "eighty-two million, seventy-eight thousand, one hundred thirty-one".