81958953 has 16 divisors (see below), whose sum is σ = 110816640. Its totient is φ = 53875584.

The previous prime is 81958937. The next prime is 81958957. The reversal of 81958953 is 35985918.

It is not a de Polignac number, because 81958953 - 2⁴ = 81958937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81958957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85525 + ... + 86477.

It is an arithmetic number, because the mean of its divisors is an integer number (6926040).

Almost surely, 2^81958953 is an apocalyptic number.

It is an amenable number.

81958953 is a deficient number, since it is larger than the sum of its proper divisors (28857687).

81958953 is a wasteful number, since it uses less digits than its factorization.

81958953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328.

The product of its digits is 388800, while the sum is 48.

The square root of 81958953 is about 9053.1184130111. The cubic root of 81958953 is about 434.3756454487.

The spelling of 81958953 in words is "eighty-one million, nine hundred fifty-eight thousand, nine hundred fifty-three".