1005853672 has 8 divisors (see below), whose sum is σ = 1885975650. Its totient is φ = 502926832.

The previous prime is 1005853643. The next prime is 1005853679. The reversal of 1005853672 is 2763585001.

It can be written as a sum of positive squares in only one way, i.e., 899640036 + 106213636 = 29994^2 + 10306^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1005853679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62865847 + ... + 62865862.

Almost surely, 2^1005853672 is an apocalyptic number.

It is an amenable number.

1005853672 is a deficient number, since it is larger than the sum of its proper divisors (880121978).

1005853672 is a wasteful number, since it uses less digits than its factorization.

1005853672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125731715 (or 125731711 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1005853672 is about 31715.1962314598. The cubic root of 1005853672 is about 1001.9474290582.

The spelling of 1005853672 in words is "one billion, five million, eight hundred fifty-three thousand, six hundred seventy-two".