820744151 has 8 divisors (see below), whose sum is σ = 825432960. Its totient is φ = 816065208.

The previous prime is 820744117. The next prime is 820744153. The reversal of 820744151 is 151447028.

It is a happy number.

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 820744151 - 2⁶ = 820744087 is a prime.

It is a super-2 number, since 2×820744151² = 1347241922801421602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820744153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217640 + ... + 221378.

It is an arithmetic number, because the mean of its divisors is an integer number (103179120).

Almost surely, 2^820744151 is an apocalyptic number.

820744151 is a deficient number, since it is larger than the sum of its proper divisors (4688809).

820744151 is a wasteful number, since it uses less digits than its factorization.

820744151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 820744151 is about 28648.6326200746. The cubic root of 820744151 is about 936.2732141127.

The spelling of 820744151 in words is "eight hundred twenty million, seven hundred forty-four thousand, one hundred fifty-one".