821461431 has 12 divisors (see below), whose sum is σ = 1274103672. Its totient is φ = 469406448.

The previous prime is 821461423. The next prime is 821461463. The reversal of 821461431 is 134164128.

It is not a de Polignac number, because 821461431 - 2³ = 821461423 is a prime.

It is a super-2 number, since 2×821461431² = 1349597765241135522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821461411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2793940 + ... + 2794233.

It is an arithmetic number, because the mean of its divisors is an integer number (106175306).

Almost surely, 2^821461431 is an apocalyptic number.

821461431 is a deficient number, since it is larger than the sum of its proper divisors (452642241).

821461431 is a wasteful number, since it uses less digits than its factorization.

821461431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588190 (or 5588183 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 821461431 is about 28661.1484591947. The cubic root of 821461431 is about 936.5458831323.

The spelling of 821461431 in words is "eight hundred twenty-one million, four hundred sixty-one thousand, four hundred thirty-one".