972505197 has 36 divisors (see below), whose sum is σ = 1478952384. Its totient is φ = 638604000.

The previous prime is 972505133. The next prime is 972505211. The reversal of 972505197 is 791505279.

It is not a de Polignac number, because 972505197 - 2⁶ = 972505133 is a prime.

972505197 is a modest number, since divided by 505197 gives 972 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972505097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1294572 + ... + 1295322.

Almost surely, 2^972505197 is an apocalyptic number.

It is an amenable number.

972505197 is a deficient number, since it is larger than the sum of its proper divisors (506447187).

972505197 is an frugal number, since it uses more digits than its factorization.

972505197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 972505197 is about 31185.0155844117. The cubic root of 972505197 is about 990.7497626130.

The spelling of 972505197 in words is "nine hundred seventy-two million, five hundred five thousand, one hundred ninety-seven".