9735972 has 24 divisors (see below), whose sum is σ = 22940736. Its totient is φ = 3213408.

The previous prime is 9735949. The next prime is 9735991. The reversal of 9735972 is 2795379.

It is a super-3 number, since 3×9735972³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2703 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (955864).

Almost surely, 2^9735972 is an apocalyptic number.

It is an amenable number.

9735972 is an abundant number, since it is smaller than the sum of its proper divisors (13204764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9735972 is a wasteful number, since it uses less digits than its factorization.

9735972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7987 (or 7985 counting only the distinct ones).

The product of its digits is 119070, while the sum is 42.

The square root of 9735972 is about 3120.2519129070. The cubic root of 9735972 is about 213.5304287446.

The spelling of 9735972 in words is "nine million, seven hundred thirty-five thousand, nine hundred seventy-two".