1005642631 has 12 divisors (see below), whose sum is σ = 1174697040. Its totient is φ = 858392640.

The previous prime is 1005642623. The next prime is 1005642641. The reversal of 1005642631 is 1362465001.

It is not a de Polignac number, because 1005642631 - 2³ = 1005642623 is a prime.

It is a super-2 number, since 2×1005642631² = 2022634202569204322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005642631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005642641) 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, 30771 + ... + 54388.

It is an arithmetic number, because the mean of its divisors is an integer number (97891420).

Almost surely, 2^1005642631 is an apocalyptic number.

1005642631 is a deficient number, since it is larger than the sum of its proper divisors (169054409).

1005642631 is an equidigital number, since it uses as much as digits as its factorization.

1005642631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85414 (or 85407 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1005642631 is about 31711.8689294718. The cubic root of 1005642631 is about 1001.8773503501.

The spelling of 1005642631 in words is "one billion, five million, six hundred forty-two thousand, six hundred thirty-one".