82100003 has 8 divisors (see below), whose sum is σ = 84842448. Its totient is φ = 79385184.

The previous prime is 82099973. The next prime is 82100009. The reversal of 82100003 is 30000128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82100003 - 2¹⁸ = 81837859 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 776 + ... + 12837.

It is an arithmetic number, because the mean of its divisors is an integer number (10605306).

Almost surely, 2^82100003 is an apocalyptic number.

82100003 is a deficient number, since it is larger than the sum of its proper divisors (2742445).

82100003 is a wasteful number, since it uses less digits than its factorization.

82100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 82100003 is about 9060.9051976058. The cubic root of 82100003 is about 434.6246870671.

The spelling of 82100003 in words is "eighty-two million, one hundred thousand, three".