10585972 has 6 divisors (see below), whose sum is σ = 18525458. Its totient is φ = 5292984.

The previous prime is 10585969. The next prime is 10585987. The reversal of 10585972 is 27958501.

It can be written as a sum of positive squares in only one way, i.e., 10265616 + 320356 = 3204^2 + 566^2 .

It is a super-2 number, since 2×10585972² = 224125606369568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1323243 + ... + 1323250.

Almost surely, 2^10585972 is an apocalyptic number.

It is an amenable number.

10585972 is a deficient number, since it is larger than the sum of its proper divisors (7939486).

10585972 is a wasteful number, since it uses less digits than its factorization.

10585972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646497 (or 2646495 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 10585972 is about 3253.6090730142. The cubic root of 10585972 is about 219.5719777162.

The spelling of 10585972 in words is "ten million, five hundred eighty-five thousand, nine hundred seventy-two".