83461521 has 32 divisors (see below), whose sum is σ = 131419008. Its totient is φ = 46448640.

The previous prime is 83461501. The next prime is 83461523. The reversal of 83461521 is 12516438.

It is not a de Polignac number, because 83461521 - 2¹⁴ = 83445137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83461523) 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 31 ways as a sum of consecutive naturals, for example, 109875 + ... + 110631.

It is an arithmetic number, because the mean of its divisors is an integer number (4106844).

Almost surely, 2^83461521 is an apocalyptic number.

It is an amenable number.

83461521 is a deficient number, since it is larger than the sum of its proper divisors (47957487).

83461521 is a wasteful number, since it uses less digits than its factorization.

83461521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041.

The product of its digits is 5760, while the sum is 30.

The square root of 83461521 is about 9135.7277214243. The cubic root of 83461521 is about 437.0140821111.

Adding to 83461521 its reverse (12516438), we get a palindrome (95977959).

The spelling of 83461521 in words is "eighty-three million, four hundred sixty-one thousand, five hundred twenty-one".