82961541 has 24 divisors (see below), whose sum is σ = 129465336. Its totient is φ = 50889600.

The previous prime is 82961539. The next prime is 82961551. The reversal of 82961541 is 14516928.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 82901025 = 246^2 + 9105^2 .

It is not a de Polignac number, because 82961541 - 2¹ = 82961539 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82961496 and 82961505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82961551) 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, 42691 + ... + 44591.

It is an arithmetic number, because the mean of its divisors is an integer number (5394389).

Almost surely, 2^82961541 is an apocalyptic number.

It is an amenable number.

82961541 is a deficient number, since it is larger than the sum of its proper divisors (46503795).

82961541 is a wasteful number, since it uses less digits than its factorization.

82961541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2290 counting only the distinct ones).

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

The square root of 82961541 is about 9108.3226227445. The cubic root of 82961541 is about 436.1396828909.

The spelling of 82961541 in words is "eighty-two million, nine hundred sixty-one thousand, five hundred forty-one".