1072841831 has 32 divisors (see below), whose sum is σ = 1244491776. Its totient is φ = 918720000.

The previous prime is 1072841807. The next prime is 1072841857. The reversal of 1072841831 is 1381482701.

It is a cyclic number.

It is not a de Polignac number, because 1072841831 - 2¹⁰ = 1072840807 is a prime.

It is a super-2 number, since 2×1072841831² = 2301979188686865122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 1072841791 and 1072841800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072841431) 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, 738656 + ... + 740106.

It is an arithmetic number, because the mean of its divisors is an integer number (38890368).

Almost surely, 2^1072841831 is an apocalyptic number.

1072841831 is a deficient number, since it is larger than the sum of its proper divisors (171649945).

1072841831 is a wasteful number, since it uses less digits than its factorization.

1072841831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583.

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 1072841831 is about 32754.2643177953. The cubic root of 1072841831 is about 1023.7138199583.

The spelling of 1072841831 in words is "one billion, seventy-two million, eight hundred forty-one thousand, eight hundred thirty-one".