6982211461 has 16 divisors (see below), whose sum is σ = 7107432448. Its totient is φ = 6858432000.

The previous prime is 6982211459. The next prime is 6982211519. The reversal of 6982211461 is 1641122896.

It is a 7-Lehmer number, since φ(6982211461) divides (6982211461-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 6982211461 - 2¹ = 6982211459 is a prime.

It is a super-2 number, since 2×6982211461² = 97502553772239509042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6982211441) 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 15 ways as a sum of consecutive naturals, for example, 10374421 + ... + 10375093.

It is an arithmetic number, because the mean of its divisors is an integer number (444214528).

Almost surely, 2^6982211461 is an apocalyptic number.

6982211461 is the 44665-th centered heptagonal number.

It is an amenable number.

6982211461 is a deficient number, since it is larger than the sum of its proper divisors (125220987).

6982211461 is a wasteful number, since it uses less digits than its factorization.

6982211461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492.

The product of its digits is 41472, while the sum is 40.

The square root of 6982211461 is about 83559.6281765303. The cubic root of 6982211461 is about 1911.3094153374.

The spelling of 6982211461 in words is "six billion, nine hundred eighty-two million, two hundred eleven thousand, four hundred sixty-one".