82100007 has 32 divisors (see below), whose sum is σ = 139680000. Its totient is φ = 47135520.

The previous prime is 82099973. The next prime is 82100009. The reversal of 82100007 is 70000128.

It is not a de Polignac number, because 82100007 - 2⁷ = 82099879 is a prime.

It is a super-2 number, since 2×82100007² = 13480822298800098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82100009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632 + ... + 12917.

It is an arithmetic number, because the mean of its divisors is an integer number (4365000).

Almost surely, 2^82100007 is an apocalyptic number.

82100007 is a deficient number, since it is larger than the sum of its proper divisors (57579993).

82100007 is a wasteful number, since it uses less digits than its factorization.

82100007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14588 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82100007 is about 9060.9054183343. The cubic root of 82100007 is about 434.6246941256.

The spelling of 82100007 in words is "eighty-two million, one hundred thousand, seven".