82951641 has 8 divisors (see below), whose sum is σ = 122891360. Its totient is φ = 55301076.

The previous prime is 82951621. The next prime is 82951667. The reversal of 82951641 is 14615928.

82951641 is a `hidden beast` number, since 8 + 2 + 9 + 5 + 1 + 641 = 666.

It is not a de Polignac number, because 82951641 - 2⁶ = 82951577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82951596 and 82951605.

It is not an unprimeable number, because it can be changed into a prime (82951621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1536115 + ... + 1536168.

It is an arithmetic number, because the mean of its divisors is an integer number (15361420).

Almost surely, 2^82951641 is an apocalyptic number.

It is an amenable number.

82951641 is a deficient number, since it is larger than the sum of its proper divisors (39939719).

82951641 is a wasteful number, since it uses less digits than its factorization.

82951641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072292 (or 3072286 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 82951641 is about 9107.7791475200. The cubic root of 82951641 is about 436.1223336687.

The spelling of 82951641 in words is "eighty-two million, nine hundred fifty-one thousand, six hundred forty-one".