82738131 has 16 divisors (see below), whose sum is σ = 130425600. Its totient is φ = 45648288.

The previous prime is 82738121. The next prime is 82738147. The reversal of 82738131 is 13183728.

It is not a de Polignac number, because 82738131 - 2⁷ = 82738003 is a prime.

It is a super-2 number, since 2×82738131² = 13691196642746322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82738092 and 82738101.

It is not an unprimeable number, because it can be changed into a prime (82738111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67321 + ... + 68538.

It is an arithmetic number, because the mean of its divisors is an integer number (8151600).

Almost surely, 2^82738131 is an apocalyptic number.

82738131 is a deficient number, since it is larger than the sum of its proper divisors (47687469).

82738131 is a wasteful number, since it uses less digits than its factorization.

82738131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135898.

The product of its digits is 8064, while the sum is 33.

The square root of 82738131 is about 9096.0502966947. The cubic root of 82738131 is about 435.7478323975.

The spelling of 82738131 in words is "eighty-two million, seven hundred thirty-eight thousand, one hundred thirty-one".