997953601 has 16 divisors (see below), whose sum is σ = 1104364800. Its totient is φ = 896974848.

The previous prime is 997953599. The next prime is 997953611. The reversal of 997953601 is 106359799.

997953601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 997953601 - 2¹ = 997953599 is a prime.

It is a super-2 number, since 2×997953601² = 1991822779497734402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (997953611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299020 + ... + 302338.

It is an arithmetic number, because the mean of its divisors is an integer number (69022800).

Almost surely, 2^997953601 is an apocalyptic number.

It is an amenable number.

997953601 is a deficient number, since it is larger than the sum of its proper divisors (106411199).

997953601 is a wasteful number, since it uses less digits than its factorization.

997953601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128.

The product of its (nonzero) digits is 459270, while the sum is 49.

The square root of 997953601 is about 31590.4036219862. The cubic root of 997953601 is about 999.3174011648.

The spelling of 997953601 in words is "nine hundred ninety-seven million, nine hundred fifty-three thousand, six hundred one".