82351521 has 24 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 46488096.

The previous prime is 82351483. The next prime is 82351537. The reversal of 82351521 is 12515328.

It is a happy number.

It is not a de Polignac number, because 82351521 - 2⁶ = 82351457 is a prime.

It is a super-2 number, since 2×82351521² = 13563546022026882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82351121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2646 + ... + 13103.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2^82351521 is an apocalyptic number.

It is an amenable number.

82351521 is a deficient number, since it is larger than the sum of its proper divisors (55240479).

82351521 is a wasteful number, since it uses less digits than its factorization.

82351521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15845 (or 15842 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 82351521 is about 9074.7738814805. The cubic root of 82351521 is about 435.0680670339.

Adding to 82351521 its reverse (12515328), we get a palindrome (94866849).

The spelling of 82351521 in words is "eighty-two million, three hundred fifty-one thousand, five hundred twenty-one".