82252131 has 24 divisors (see below), whose sum is σ = 121034736. Its totient is φ = 49645440.

The previous prime is 82252127. The next prime is 82252133. The reversal of 82252131 is 13125228.

It is not a de Polignac number, because 82252131 - 2² = 82252127 is a prime.

It is a super-2 number, since 2×82252131² = 13530826108082322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82252133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25341 + ... + 28401.

It is an arithmetic number, because the mean of its divisors is an integer number (5043114).

Almost surely, 2^82252131 is an apocalyptic number.

82252131 is a deficient number, since it is larger than the sum of its proper divisors (38782605).

82252131 is a wasteful number, since it uses less digits than its factorization.

82252131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3130 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 82252131 is about 9069.2960586806. The cubic root of 82252131 is about 434.8929687789.

Adding to 82252131 its reverse (13125228), we get a palindrome (95377359).

The spelling of 82252131 in words is "eighty-two million, two hundred fifty-two thousand, one hundred thirty-one".