82246761 has 9 divisors (see below), whose sum is σ = 118840189. Its totient is φ = 54813036.

The previous prime is 82246739. The next prime is 82246777. The reversal of 82246761 is 16764228.

The square root of 82246761 is 9069.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 82246761 - 2⁵ = 82246729 is a prime.

It is a super-2 number, since 2×82246761² = 13529059389982242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82246261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25696 + ... + 28718.

Almost surely, 2^82246761 is an apocalyptic number.

82246761 is the 9069-th square number.

82246761 is the 4535-th centered octagonal number.

It is an amenable number.

82246761 is a deficient number, since it is larger than the sum of its proper divisors (36593428).

82246761 is an frugal number, since it uses more digits than its factorization.

82246761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 3026 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The cubic root of 82246761 is about 434.8835042781.

Subtracting from 82246761 its sum of digits (36), we obtain a triangular number (82246725 = T₁₂₈₂₅).

Multiplying 82246761 by its sum of digits (36), we get a square (2960883396 = 54414²).

The spelling of 82246761 in words is "eighty-two million, two hundred forty-six thousand, seven hundred sixty-one".