1085407631 has 24 divisors (see below), whose sum is σ = 1366418592. Its totient is φ = 843955200.

The previous prime is 1085407627. The next prime is 1085407663. The reversal of 1085407631 is 1367045801.

It is not a de Polignac number, because 1085407631 - 2² = 1085407627 is a prime.

It is a super-2 number, since 2×1085407631² = 2356219450866064322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1085407591 and 1085407600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085407031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501191 + ... + 503351.

It is an arithmetic number, because the mean of its divisors is an integer number (56934108).

Almost surely, 2^1085407631 is an apocalyptic number.

1085407631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1085407631 is a deficient number, since it is larger than the sum of its proper divisors (281010961).

1085407631 is a wasteful number, since it uses less digits than its factorization.

1085407631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1085407631 is about 32945.5252044948. The cubic root of 1085407631 is about 1027.6951103053.

The spelling of 1085407631 in words is "one billion, eighty-five million, four hundred seven thousand, six hundred thirty-one".