821214801 has 32 divisors (see below), whose sum is σ = 1405296000. Its totient is φ = 468426240.

The previous prime is 821214773. The next prime is 821214803. The reversal of 821214801 is 108412128.

It is not a de Polignac number, because 821214801 - 2²² = 817020497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (821214803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76276 + ... + 86373.

It is an arithmetic number, because the mean of its divisors is an integer number (43915500).

Almost surely, 2^821214801 is an apocalyptic number.

It is an amenable number.

821214801 is a deficient number, since it is larger than the sum of its proper divisors (584081199).

821214801 is a wasteful number, since it uses less digits than its factorization.

821214801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162686 (or 162680 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 821214801 is about 28656.8456219452. The cubic root of 821214801 is about 936.4521463593.

Adding to 821214801 its reverse (108412128), we get a palindrome (929626929).

The spelling of 821214801 in words is "eight hundred twenty-one million, two hundred fourteen thousand, eight hundred one".