820672413 has 16 divisors (see below), whose sum is σ = 1194310656. Its totient is φ = 497125040.

The previous prime is 820672409. The next prime is 820672417. The reversal of 820672413 is 314276028.

It is an interprime number because it is at equal distance from previous prime (820672409) and next prime (820672417).

It is a cyclic number.

It is not a de Polignac number, because 820672413 - 2² = 820672409 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820672417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75670 + ... + 85832.

It is an arithmetic number, because the mean of its divisors is an integer number (74644416).

Almost surely, 2^820672413 is an apocalyptic number.

It is an amenable number.

820672413 is a deficient number, since it is larger than the sum of its proper divisors (373638243).

820672413 is a wasteful number, since it uses less digits than its factorization.

820672413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12624.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 820672413 is about 28647.3805608820. The cubic root of 820672413 is about 936.2459346717.

The spelling of 820672413 in words is "eight hundred twenty million, six hundred seventy-two thousand, four hundred thirteen".