82001931 has 32 divisors (see below), whose sum is σ = 126966528. Its totient is φ = 46525440.

The previous prime is 82001893. The next prime is 82001963. The reversal of 82001931 is 13910028.

It is not a de Polignac number, because 82001931 - 2⁶ = 82001867 is a prime.

It is a super-2 number, since 2×82001931² = 13448633375457522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82001431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175360 + ... + 175826.

It is an arithmetic number, because the mean of its divisors is an integer number (3967704).

Almost surely, 2^82001931 is an apocalyptic number.

82001931 is a deficient number, since it is larger than the sum of its proper divisors (44964597).

82001931 is a wasteful number, since it uses less digits than its factorization.

82001931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 82001931 is about 9055.4917591481. The cubic root of 82001931 is about 434.4515587915.

Adding to 82001931 its reverse (13910028), we get a palindrome (95911959).

The spelling of 82001931 in words is "eighty-two million, one thousand, nine hundred thirty-one".