82003157 has 8 divisors (see below), whose sum is σ = 84181272. Its totient is φ = 79833600.

The previous prime is 82003147. The next prime is 82003169. The reversal of 82003157 is 75130028.

It can be written as a sum of positive squares in 4 ways, for example, as 2686321 + 79316836 = 1639^2 + 8906^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82003157 is a prime.

It is a Duffinian number.

82003157 is a modest number, since divided by 3157 gives 82 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82003127) 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 7 ways as a sum of consecutive naturals, for example, 20333 + ... + 24029.

It is an arithmetic number, because the mean of its divisors is an integer number (10522659).

Almost surely, 2^82003157 is an apocalyptic number.

82003157 is the 7394-th pentagonal number.

It is an amenable number.

82003157 is a deficient number, since it is larger than the sum of its proper divisors (2178115).

82003157 is a wasteful number, since it uses less digits than its factorization.

82003157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 82003157 is about 9055.5594526236. The cubic root of 82003157 is about 434.4537239232.

The spelling of 82003157 in words is "eighty-two million, three thousand, one hundred fifty-seven".