82312551 has 32 divisors (see below), whose sum is σ = 125737920. Its totient is φ = 53194752.

The previous prime is 82312523. The next prime is 82312567. The reversal of 82312551 is 15521328.

It is a happy number.

82312551 is a `hidden beast` number, since 82 + 31 + 2 + 551 = 666.

It is not a de Polignac number, because 82312551 - 2⁵ = 82312519 is a prime.

It is a super-4 number, since 4×82312551⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82312591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138511 + ... + 139103.

It is an arithmetic number, because the mean of its divisors is an integer number (3929310).

Almost surely, 2^82312551 is an apocalyptic number.

82312551 is a deficient number, since it is larger than the sum of its proper divisors (43425369).

82312551 is a wasteful number, since it uses less digits than its factorization.

82312551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

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

The square root of 82312551 is about 9072.6264664649. The cubic root of 82312551 is about 434.9994292501. Note that the first 3 decimals are identical.

Adding to 82312551 its reverse (15521328), we get a palindrome (97833879).

The spelling of 82312551 in words is "eighty-two million, three hundred twelve thousand, five hundred fifty-one".