820058991 has 8 divisors (see below), whose sum is σ = 1093557504. Its totient is φ = 546633240.

The previous prime is 820058933. The next prime is 820059001. The reversal of 820058991 is 199850028.

It is a happy number.

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

It is not a de Polignac number, because 820058991 - 2¹⁴ = 820042607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820058191) 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, 18936 + ... + 44706.

It is an arithmetic number, because the mean of its divisors is an integer number (136694688).

Almost surely, 2^820058991 is an apocalyptic number.

820058991 is a deficient number, since it is larger than the sum of its proper divisors (273498513).

820058991 is a wasteful number, since it uses less digits than its factorization.

820058991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36381.

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 820058991 is about 28636.6721355677. The cubic root of 820058991 is about 936.0126068961.

The spelling of 820058991 in words is "eight hundred twenty million, fifty-eight thousand, nine hundred ninety-one".